If you have a Beam 1, which is the 110V version, there will be no difference in jet pressure if you run the hot tub on 220V. Only difference you will have is that the heat up time will be reduced drastically and the heater will be able to run concurrently with the jet pump.
On average, you are only going to gain 1-2 degrees an hour on 110 volt so that 28 degrees in 18 hours is within reason.
If you had a Beam II, which is the dedicated 220V version, then yes there would be a performance difference because it has a larger pump. Regardless which version of the Beam it is, if you're running on 220V, the heat performance and heat retention would be the same.
It's been probably 2+ years since I have sat in a Beam 1. From my memory, it had very respectable jet pressure for being a 110V/220V hot tub. You will want to keep the air controls open, just like you would with most any hot tub to get the most power. You also have a diverter valve which will allow you to select which jets get max power.