At 14k, I'm guessing it's a 5th wheel (not many bumper pulls that heavy).
It may have enough grunt to pull it (or it might not, have to check the specifics).
The problem is it's likely going to have a pin weight on the order of 3000lb (give or take a couple hundred). That counts against the truck payload. Add in other stuff, including passengers in the truck and very good chance you exceed the truck payload.
A 1ton SRW probably will have enough payload but that's getting borderline where I would be considering dually.