Hello Jared,
Thanks for your question. As a general rule nothing in our software should be 16 gigs in size. After speaking with some other techs the only likely ways a file could get to that size would be if something were broken or if diagnostic logs were somehow manually enabled and then never turned off. Either way deleting those 16 gigs should be absolutely fine. If for any reason you encounter files growing to similar sizes in the future I might recommend temporarily uninstalling Covenant Eyes, then restarting the device, and reinstalling Covenant Eyes fresh.
And of course you are also always welcome to contact our Member Care Team for more immediate assistance. They can be reached at 989-720-8000. Let us know if there is anything else we can do to assist and have a wonderful rest of your day!