/usr/lib/x86_64-linux-gnu/libgnutls.so is in libgnutls28-dev 3.0.11-1ubuntu2.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libgnutls.so.28.5.1
/usr/lib/x86_64-linux-gnu/libgnutls.so.28.5.1