The GV400 has pressure lubrication, so it would probably have an oil pressure cutout if anything rather than a low oil switch. However I cannot find any oil-related auto shutdown feature mentioned in the workshop manual or on the internet. Nevertheless I suppose it is just possible that the engine has been retrofitted with an Oil Alert - it appears some of the G400 engines, the horizontal crankshaft version, had them. It isn't clear why it would run for quite a while, then stop, but would restart after waiting half an hour, if the problem were a low oil cutout that was working properly - but having said that, a low oil cutout that wasn't working properly could be a different story.
Incidentally Jason, from the serial number your engine would be a GV400K1, the later form of the engine, not a GV400. Any GV400 with a serial number beginning with 1 is an early type, and all serial numbers beginning with 2 are K1.
Last edited by grumpy; 15/01/13 02:02 AM. Reason: Add detail