<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-09-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001581280</issuerCik>
        <issuerName>Twist Bioscience Corp</issuerName>
        <issuerTradingSymbol>TWST</issuerTradingSymbol>
    </issuer>

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            <rptOwnerCik>0001755793</rptOwnerCik>
            <rptOwnerName>Weiss Patrick</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O TWIST BIOSCIENCE CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>455 MISSION BAY BOULEVARD SOUTH</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94158</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SVP, R&amp;D GM Data Storage</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3682</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>79206</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The transactions reported on this Form 4 were effected pursuant to a Rule 10b5-1 trading plan previously adopted by the Reporting Person.</footnote>
        <footnote id="F2">Represents the aggregate of sales effected on the same day at different prices.</footnote>
        <footnote id="F3">Represents the weighted average sales price per share. The shares sold at prices ranging from $29.13 to $30.12 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F4">Represents the weighted average sales price per share. The shares sold at prices ranging from $30.21 to $30.28 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F5">Represents the weighted average sales price per share. The shares sold at prices ranging from $29.13 to $30.10 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F6">Represents the weighted average sales price per share. The shares sold at prices ranging from $29.13 to $30.05 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F7">Represents the weighted average sales price per share. The shares sold at prices ranging from $29.64 to $30.56 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F8">Represents the weighted average sales price per share. The shares sold at prices ranging from $29.25 to $30.20 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F9">Represents the weighted average sales price per share. The shares sold at prices ranging from $29.40 to $30.35 per share. Full information regarding the number of shares sold at each price shall be provided upon request to the staff of the U.S. Securities and Exchange Commission, the Issuer, or a security holder of the Issuer.</footnote>
        <footnote id="F10">The option is immediately exercisable. 25% of the shares subject to the option vested on September 1, 2016, and 1/48th of the shares subject to the option vest on each monthly anniversary thereafter, subject to the Reporting Person's continuous service through each vesting date.</footnote>
        <footnote id="F11">The option is immediately exercisable. 10% of the shares subject to the option vested on September 29, 2017, 15% of the shares subject to the option vested on September 28, 2018, and 1/48th of the shares subject to the option vest on each monthly anniversary thereafter, subject to the Reporting Person's continuous service through each vesting date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ William Solis, as Attorney-in-Fact for Patrick Weiss</signatureName>
        <signatureDate>2019-09-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
