Hobart AM 14 model pressure rise

Are you refering to the water pressure gauge near the top of the unit?

If so, during the final rinse/sanitize cycle the gauge should read between 15 and 25 psi.( flow pressure ) and is usually controlled by a water pressure regulator piped into your plumbing near the machine. Once the cycle has finished, it's normal to see the gauge register much higher pressure readings ( static pressure ) This is the water pressure being supplied to your building. Pressures of 60psi+ are not uncommon. What, I think, you're describing is normal.

All the best.