A bind security update has been released for CentOS 6.

CentOS-announce: CESA-2020:2383 Important CentOS 6 bind Security Update

CentOS Errata and Security Advisory 2020:2383 Important

Upstream details at :   https://access.redhat.com/errata/RHSA-2020:2383

The following updated files have been uploaded and are currently
syncing to the mirrors: ( sha256sum Filename )

i386:
38e6935a774d6bf23e64738e47bd210b99e2ca71a8b4be858e4f38468f90f09c bind-9.8.2-0.68.rc1.el6_10.7.i686.rpm
38ab4c3d80d5ba490935027e9dac352f2a6500674fa38d94c7db4ad6ceaf65b2 bind-chroot-9.8.2-0.68.rc1.el6_10.7.i686.rpm
42e976e219a8fd5e3e55208df3535e54ed60c3902746b4620f5f919f9f8de34e bind-devel-9.8.2-0.68.rc1.el6_10.7.i686.rpm
2be485965db6cf9fe724fc16f772bfe15bf6dc4e4516f94f9697549f8e8b38ec bind-libs-9.8.2-0.68.rc1.el6_10.7.i686.rpm
feb19898a3da1423604d5b7eedf261c47d648afcb907e18cdba3396d86da7b5c bind-sdb-9.8.2-0.68.rc1.el6_10.7.i686.rpm
757c6a9b10575ae842779e66e2e87dba2f353c13ba3fcdc88bf55243962c8e2b bind-utils-9.8.2-0.68.rc1.el6_10.7.i686.rpm

x86_64:
043b382da00b5da9191d0fed17280757f70bde12b9f48730f0c2926245c9097b bind-9.8.2-0.68.rc1.el6_10.7.x86_64.rpm
1704dc77fb9c35475accbadc35176644c61d3989de04543093f2c760bad3252e bind-chroot-9.8.2-0.68.rc1.el6_10.7.x86_64.rpm
42e976e219a8fd5e3e55208df3535e54ed60c3902746b4620f5f919f9f8de34e bind-devel-9.8.2-0.68.rc1.el6_10.7.i686.rpm
e8e129aa45200ede187103445d37e27ded0922accaf12c0551af3c253d51ee9d bind-devel-9.8.2-0.68.rc1.el6_10.7.x86_64.rpm
2be485965db6cf9fe724fc16f772bfe15bf6dc4e4516f94f9697549f8e8b38ec bind-libs-9.8.2-0.68.rc1.el6_10.7.i686.rpm
c83ea96bcec6a7ce68266a5b5ba7681038c7c115e0d642747409bee518db7f03 bind-libs-9.8.2-0.68.rc1.el6_10.7.x86_64.rpm
7e745c2d513daf40a440027265a5c966cfc6e8e9a1cd39e9804a0eae40ce00fa bind-sdb-9.8.2-0.68.rc1.el6_10.7.x86_64.rpm
1d8b16ab1bf34e51ac160ba0c27afeb050639c37f0bed6ad68a06bf77bdb591b bind-utils-9.8.2-0.68.rc1.el6_10.7.x86_64.rpm

Source:
452bb4f0ab96c2fec8012499a79fbac64703504888ce1896f427b69ab599ee3b bind-9.8.2-0.68.rc1.el6_10.7.src.rpm