Will CS6 run on a brand new mac mini?

[ moved from Creative Suites to Hardware Forum]

Maybe... but CS6 is no longer supported by Adobe so the only help you will get is from other forum users

CS6 and earlier programs have not been tested and will not be updated for Mac El Capitan or later operating systems

-which means that you try to use CS6 and earlier at YOUR risk of having problems due to Apple updates

-Apple did not maintain backward compatibility with old programs in El Capitan or Sierra

--Adobe has a workaround to Apple's problem of not maintaining backward compatibility

--READ HERE https://forums.adobe.com/thread/2301916 for an Adobe solution to installing old programs, including a link to installing the old Java runtime that is required

I can't speak for Photoshop CS6. InDesign CS6 is not optimized for High Sierra as illustrated in this thread:

My InDesign CS6 is extremely slow - almost not usable. Why?