Mine has the Class V, so I would be surprised if yours didn't. You obviously have internet so just do a quick search on "towing capacity 2011 Ford Superduty" and what you need should come up.
I sure wouldn't go by any numbers that owners of older GM or Rams put out there, you need to check your own specs for that truck.
I sure wouldn't want to try to tow that wide of a load anyway. How do you think your mirrors are going to work? Heck, if my fiver was a foot wider I couldn't see around it, let alone a load that is over 13'