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I have E-rated tires that size on my F250. They are specified for a maximum carrying capacity of 3042 pounds each at 80 psi. So, six of them are rated at 18,252 pounds total, assuming the load is exactly distributed and each tire has exactly the maximum load on it.
So, given your numbers, it sounds like they would not be enough.
I think you can find G-rated tires in that size, which might make the cut for your application.
One thing to be aware of: tires age, especially in the sun and especially if they are not regularly used. The common wisdom is to replace tires at six years of age especially when they sit for long periods between use, although a lot of different opinions are out there regarding this topic.