Maynard needs little introduction. Tireless educator, and high-note wizard. He uses what’s called the “pistol-grip” (for obvious reasons) to hold his trumpet. Check him and his band out in this 1969 viddo of Duke Ellington’s Take the A Train.
I don’t know much about the details (shout out in the comments if you do), but Maynard changed his grip as you can see in later photos of his playing.