How to capture this message "Connection Interrupted"

You would need to not set the idle timeout, or at least set it up higher than what you need, then use an iRule to track every connection and measure its idleness! and do whatever you want with it when it has been idle for too long.

 

 

Like I said, this is not a simple question. You could also call F5 Support and submit a request for enhancement To add an Event for IP idle timeout expired.