I've experienced a similar issue with version 6.11.x (cant remember if it was 6.11.11 exactly) on C1000 appliance - services would stop unexpectedly and there were noticeable cluster stability problems.
Although 6.11.11 is a long-term support (LTS) release, I found it to be less stable in practice on the C1000 platform. After upgrading to 6.12.0, which is a short-term release (SLR), the system ran much more reliably and those issues were resolved.
If the environment allows it, I'd recommend testing with 6.12.0 to see if stability improves.
Cheers,
Vigan