Can you provide a picture of what one of those plugs actually looks like with the "oil coating"? I'd like to see it before I'd say those were actually fouled. Plugs are usually self-cleaning, that is, they will burn off any carbon deposits or oil provided the rings/block/fuel delivery is in good condition. It's not uncommon to see "wet" plugs after an engine quits since this is usually unburned fuel. Some more info would be helpful, as well. Does the engine quit while just sitting there and idling? Did you check for spark right after the engine quit running? Will the engine rev and remain running when it begins to buck and lose power? Is it easy to restart, or does it need to sit there and cool down before you can start it again?
I use those same plugs in my engine. Right off the top of my head without knowing anything further about your engine, I'd say that the quality of spark may be lagging somewhat and not causing the spark plug to provide a really good spark. After a bit, the spark plug gets overwhelmed with the amount of fuel being dumped on it and is unable to burn all of the fuel. Then again, it may be running way too rich with poses the question: How does it perform under load (in the water with 1/2 to full throttle)? Just my thoughts. Again, more info would be helpful.