There is only one file type that uses the .TB0 extension:
Adobe Photoshop Thumbnail Cache File
Cache file created by older versions of Adobe Photoshop image-editing software; contains a thumbnail image of a file that was browsed with the File Browser tool; used for creating smaller image previews that can quickly be scanned.
The Photoshop File Browser creates metadata cache files with the extension .MD0 when it generates TB0 thumbnail images.
NOTE: Adobe Bridge replaced Photoshop's File Browser tool as the application for browsing images used Adobe Creative Suite applications. Adobe Bridge uses the extensions .BC and .BCT for cache files.
Updated: December 3, 2018