Hi Johann,
I see you have posted it almost a week ago. Not sure if you still need a help.
To answer your question, from the data "SSL parameter-map" I don't see anything wrong that could cause the TCP reset every time in 5 min.
But yeah, there is an another timeout for the connection, which can be configured under parameter map as well is "set timeout inactivity" which is related to "idle timeout" when you checking " show connection detail"
By default that value is 3600sec
Another thing, it would probably be better to see what is going on there, take the span-capture and trace it, front-end ( Client-ACE) n and back-end (ACE-server).
I can also help you with analyzing the pcap.
Regards,
Alex