Boat Parts
This sight has a complete breakdown of your carb.
I just fixed my 15 hp Johnson of the exact same problem.
Soak overnight in carb cleaner
Rebuild with kit.
You will replace the flex tube, which is your slow idle tube.
Ensure the tube is clean in carb.
Is your top carb cover plastic? The plastic ones will warp.
My problem was, the top carb cover was so worn, the needle valve was going in to far, so my adjustment was all wrong.
It doesn't look like your carb has the same needle valve, but I don't know your exact model.
So i would really concentrate on the slow speed passage and have no doubt that it is clean.