I'd agree that your prelube pressure seems high, most systems I deal with are set at the pump at 10-15 PSIG and supply 2-4 PSIG in the upper oil gallieries. As TugboatEng said, the function of a prelube system is mainly to keep galleries and cavities like the oil cooler and filter housing full of oil, so once cranking begins oil is present at the crank bearing to get it "floated" on an oil film quicker. I used to have some trend charts of oil pressure at main oil galleries on system with and without prelube, was interesting to see how long it took to get oil pressure to a crank on an engine that had been sitting awhile and then called to go right up to speed and take load for emergency service. You need to make sure the prelube system is not flooding areas like the rocker mechanisms or the turbocharger. I have seen where a prelube system actually caused a cylinder hydrolock and bent a rod, not a common occurrence but can happen if all the right things line up. So after you test run and engine, after its first intermittant prelube cycle, pull a rocker cover and see how much oil is being delivered to the tops of the valves, if it isn't very much, then you're likely ok at that point, if you get a lot of oil flooding the valves, consider lowering your prelube pump outlet pressure.
Last night's job brings to mind another comment by Tug,
He noted you want to run long enough to "it takes quite a bit of time for that to get hot enough to remove water", this is an issue I'm seeing more problems associated with as more gas engine driven standby units are in place, especially in places like California that limit maintenance run time for an emergency unit.
A 1.2MW standby gas engine driven unit, weekly test runs for 30 minutes last 4 years, no full load test since original commissioning. Unit was called to start for a utility outage, ran about 15 minutes then shutdown on a detonation alarm. As we went thru logs found the actual load on unit pretty low, so couldn't understand why a detonation alarm occured. Found that other than a single oil change about 2 years ago, no other maint performed. We pulled a valve cover, found sludge built up around rocker mechanism, pulled all the covers. Found our culprit, one of the rockers had spit its push rod, the hammering from that is what triggered our detonation shutdown. The amount of sludge built up around the rocker mechanism was extreme. This cylinder's valve cover had one of the two crankcase vent connections to the vapor recovery system, the other cylinder that had the vent cover also had a huge amount of sludge. The crankcase fumes extractor was packed with sludge and the motor burned out. All this on an engine with less than 150 run hours.
Gas engines make a LOT of water as a byproduct of combustion, especially when cold. I'm thinking as the fault analysis goes further on this site they will find other contributing factors, like I suspect the wrong lube oil was used and I also suspect the "oil change" wasn't actually done due to some descrepincy in the records, but the point of this is for the OP.
Gas engine powered gensets in standby service need to be properly maintained and operated, newer gas engines are especially less tolerant of no/low load operation than older gas engines and way less tolerant than diesel engines. Plugs foul, the engine internals get varnish and sludge buildup, and newer fuel control valves get sticky and start to bind if the sit too much and because the service manual says the recommended service intervals in in the hundreds or thousands of hours, they tend to get ignored until something goes wrong. Last nights fiasco will end up in a lawsuit, they lawyers are already sharpening their knives.
For the OP, please review your operation and testing procedures, since it is in standby operation not generating revenue and running under higher loads for longer periods of time, your needs for maintenance will actually increase. Oil and coolant sampling, and visual inspections should shift to calendar based intervals instead of using operating hour guidelines in the manual, and your actual operation, installation and environment will dictate the needed maintenance and testing that actually needs to be done.
Hope that helps,