Can macOS Mojave run 64-bit version of Adobe CS6? I have ordered a new 27" iMac with macOS Mojave. I use 64-bit version of Adobe CS6.

Will macOS Mojave run it?
As noted in this answer, you should be able to run Adobe CS6 in macOS Mojave 10.14.

Another user shared their experience here and was able to use CS6 fine.