The black oil seems to be leaking out between where the prop is attached to the outboard leg.Is the oil coming from the exhaust port of the prop? if so that is evaporated gasoline/and residual oil left over. Oil does not evaporate therefore runs out of the exhaust. Had a 25hp yamaha the would do the same . Run your carb. dry after using your outboard by disconnecting the fuel hose from your engine. This will keep your carb from getting gummed up with old fuel also.