Davideboe, Welcome to the Forum!
You are looking at total weight, and not the axle weight. Subract what is on the pin box, and your axles are probably only supporting around 10,600 lbs. Your load range E are fine. You could even go to S rated tires. Load range G would be overkill, and would cost you some new wheels as well to handle the 110psi rating to be completely safe. If you have 6-lug wheels, you will never find wheels rated beyond 80 psi.
I would recommend sticking with what you have. Hopefully LonnieB or Glenn will step in and give you some expert advise!
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