Asuming the axle-loads to be 5000lbs each is dangerous.
In another topic one gave the seperate tire-loads weighed and heaviƫst appeared to bee 2800 lbs and lightest of 4 1900lbs, with even crossed weightdifferences between the axles.
So this is the importance of weighing and then preferably per tire.
Also for axles that dont steer , because of the sideward forces already mentioned, its better to use the maximum load for dual-load ( 4 tires on 1 axle).
Then you did not mention if the tires are ST ( special trailer) , then you better substract even 15% from the maximum load to get the same deflection of the tire a LT tire of same sises would have. and so less chanche on tire damage and same sideward forces resistance as LT .
this together , the always to be expected weightdifference R/L, and the more allowed deflection of ST if you have them, with the more sideward resistence it gives, makes that 80 psi is needed even if you read 58 for the assumed loads.
Mayby even 90 psi would be better if they are ST and is allowed by TRA on a 80 psi tire. For LT to but probably not needed here.