I figured out a type combo that hits fifteen types super-effective. I do not know if I made a mistake so you tell me. Here it is:
Ground
Ice
Fighting
Ghost/Flying/Dark (depending on what you want to hit)
I do not know what can learn all of these types of moves, but it hits 15 SE.
I'm pretty sure Lucario can do that with Earthquake, HP Ice, Close Combat/Aura Sphere, Dark Pulse/Shadow Ball.
















