Here's the rub, those are MAX. Everything beyond a full tank of gas and 300lbs for driver and passenger is going against that tow rating. My truck is 750lbs over door sticker weight with my small family and crap we pack along. Don't forget, the weight of the hitch counts against you too
15-20% of that camper weight will be on the pin, overloading your coil suspension.
Then you need to consider frontal area. A tall and wide camper will tow a lot harder than flatbed with pipe.
Is that 14-15k unladen weight or gross? 100 gallons of water weighs 836lbs.
If you care to look, many RV enthusiasts will recommend having 20% cushion on towing numbers. As you get moved in and fill out the stuff you need or want to take with the weights really start to add up. I maxed out my 2500 6.4l with a toy hauler that has a brochure empty weight of 8300. First trip I was about had 1000 lbs to spare on GCWR, last trip with it I scaled right at my gross. We had added that much stuff.
Will it pull 14-15k? You bet. But it isn't going to like it and you likely won't either. It will constantly shift down, probably run in 4th on flat, and get terrible economy.
IMO, you are firmly in diesel territory looking at 14-15k campers.
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