These are the specs for a 16 GPM hyd two stage pump. Some have already said you only need an 8 HP engine.
SPECIFICATIONS0.776 cu/in displacement low side
0.258 cu/in displacement high side
3000 PSI max
4000 RPM max
First stage 16 GPM @ 650 PSI
Second stage 4 GPM @ 2500 PSI
16 GPM @ 3600 RPM
The GPM are already set by the displacement of the pump and the engine rpm, and essentially you have 16 GPM in the low pressure mode, and 4 GPM in the high pressure mode. I don't think there is any change you can do to the pump to increase flow. 16 GPM is max, at 3600 rpm. There is no advantage in using a larger engine over the amount of HP required. and that is 8 HP.
The unloader adjustment can be set between 400 psi up to 900 psi. I believe it comes set at 650 psi. At the max unloader pressure, you will have the 16 GPM for a longer time, until the pressure builds up, and then the high pressure/low GPM will take over and slow down the splitting rate, but with higher pressure