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    <periodOfReport>2020-10-16</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
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        <issuerName>Codiak BioSciences, Inc.</issuerName>
        <issuerTradingSymbol>CDAK</issuerTradingSymbol>
    </issuer>

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            <rptOwnerCik>0001724575</rptOwnerCik>
            <rptOwnerName>Flagship Ventures Fund V General Partner LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 CAMBRIDGE PARKWAY, SUITE 800E</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
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    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001627639</rptOwnerCik>
            <rptOwnerName>Flagship Ventures Fund V, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 CAMBRIDGE PARKWAY, SUITE 800E</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
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    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001724939</rptOwnerCik>
            <rptOwnerName>Flagship V VentureLabs Rx Fund, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 CAMBRIDGE PARKWAY, SUITE 800E</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
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            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
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    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001222012</rptOwnerCik>
            <rptOwnerName>AFEYAN NOUBAR</rptOwnerName>
        </reportingOwnerId>
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            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
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                    <value>See Footnote</value>
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    <footnotes>
        <footnote id="F1">Each share of Series A Preferred Stock automatically converted into the Issuer's Common Stock on a 1-for-7.8170 basis upon the closing of the Issuer's initial public offering on October 16, 2020 and had no expiration date.</footnote>
        <footnote id="F2">Shares held by Flagship Ventures Fund V, L.P. (&quot;Flagship Fund V&quot;). Flagship Ventures Fund V General Partner LLC (&quot;Flagship V GP&quot;) is the general partner of Flagship Fund V. Noubar B. Afeyan, Ph.D. serves as the sole manager of Flagship V GP. Each of the reporting persons except for Flagship Fund V disclaims beneficial ownership of such shares except to the extent of his or its pecuniary interest therein.</footnote>
        <footnote id="F3">Shares held by Flagship V VentureLabs Rx Fund, L.P. (&quot;Flagship Fund V Rx&quot;). Flagship V GP is the general partner of Flagship Fund V Rx. Noubar B. Afeyan, Ph.D. serves as the sole manager of Flagship V GP. Each of the reporting persons except for Flagship Fund V Rx disclaims beneficial ownership of such shares except to the extent of his or its pecuniary interest therein.</footnote>
        <footnote id="F4">Each share of Series B Preferred Stock automatically converted into the Issuer's Common Stock on a 1-for-7.1366 basis upon the closing of the Issuer's initial public offering on October 16, 2020 and had no expiration date. The reporting person previously reported shares of common stock into which the Series B Preferred Stock was convertible based on a 1-for-7.1295 conversion ratio estimated at pricing of the Issuer's initial public offering, which reflected a fixed conversion price plus an estimated adjustment based on the issuance of shares in the Issuer's initial public offering.</footnote>
        <footnote id="F5">Each share of Series C Preferred Stock automatically converted into the Issuer's Common Stock on a 1-for-6.8855 basis upon the closing of the Issuer's initial public offering on October 16, 2020 and had no expiration date. The reporting person previously reported shares of common stock into which the Series C Preferred Stock was convertible based on a 1-for-6.8758 conversion ratio estimated at pricing of the Issuer's initial public offering, which reflected a fixed conversion price plus an estimated adjustment based on the issuance of shares in the Issuer's initial public offering.</footnote>
        <footnote id="F6">Shares held by Flagship VentureLabs V LLC (&quot;VentureLabs V&quot;). Flagship Fund V is a member of VentureLabs V. Flagship VentureLabs V Manager LLC (&quot;VentureLabs V Manager&quot;) is the manager of VentureLabs V. Flagship Pioneering, Inc. (&quot;Flagship Pioneering&quot;) is the manager of VentureLabs V Manager. The general partner of Flagship Fund V is Flagship V GP. Noubar B. Afeyan, Ph.D. serves as the sole director of Flagship Pioneering and as the sole manager of Flagship V GP. Each of the reporting persons except for VentureLabs V disclaims beneficial ownership of such shares except to the extent of his or its pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Flagship Ventures Fund V General Partner LLC, By: /s/ Noubar B. Afeyan, Name: Noubar B. Afeyan, Ph.D., Title: Manager</signatureName>
        <signatureDate>2020-10-20</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Flagship Ventures Fund V, L.P., By: Flagship Ventures Fund V General Partner LLC, its general partner, By: /s/ Noubar B. Afeyan, Name: Noubar B. Afeyan, Ph.D., Title: Manager</signatureName>
        <signatureDate>2020-10-20</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Flagship V VentureLabs Rx Fund, L.P., By: Flagship Ventures Fund V General Partner LLC, its general partner, By: /s/ Noubar B. Afeyan, Name: Noubar B. Afeyan, Ph.D., Title: Manager</signatureName>
        <signatureDate>2020-10-20</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Noubar B. Afeyan, Noubar B. Afeyan, Ph.D.</signatureName>
        <signatureDate>2020-10-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
