Both my desktop and my 12th gen Framework laptop are running Linux Mint 21.3 with the 6.5 kernel.
You’re correct, it does run 5.15 when freshly installed, but when new kernels are offered through the Update Manager, the OS automatically switches to them. I had to revert to 6.2 on my Framework laptop when I lost networking when switching to 6.5, but the second 6.5 kernel offered runs fine on it.
Note the Linux Mint Edge image does run 6.5 by default.
https://linuxmint-user-guide.readthedocs.io/en/latest/edge.html
I’ll remove the “by default” comment but as it gets updated it does switch automatically.
