Yes - it's an H 13.
According to my FSM (Section 8D-6), DTC 13 is "DIC Switch open or shorted to B+".
It's apparently happened before (hence the H13, which is a historical code, and the C indicates a current code).
From Section 8D-20 of the FSM,
Has your Driver Information Center stopped responding to commands to change (like Instant Fuel Mileage to Avererage Fuel Mileage)? If not, then you probably have an intermittant problem.
I had the SYS flashing problem over the July 4 weekend. Here's the link to that thread ...
http://www.digitalcorvettes.com/forums/showthread.php?t=79357
Maybe some of the things I discovered will also help you in your quest to solve your problem.
Steven