That is outside the range of API-620, and inside the range of ASME Section VIII. In a lot of areas, local boiler/ vessel laws would mandate construction per ASME. But from a mechanical/structural standpoint, there's not that much difference between designing for 15 psi vs 18 psi.
It would be informative to run through the calculations based on API-620. I think you'll have a gazillion anchor bolts and a compression ring that looks like something on a battleship by the time you're done. Perhaps I exaggerate. Also check foundation sizing, a ringwall can be massive under those conditions.
In the past, I have found that in most cases where a "high" pressure was specified for a large tank, the specifiers were able to reduce that pressure once they understood there was a considerable financial incentive to do so. For people used to working with pressure vessels, 15 psi is nothing and 18 psi is nothing, and it's easy to throw that number out there, not realizing you're adding a half million dollars to the cost of a tank.