No, it either does proton-proton collisions or heavy ions, both regular matter. At TeV energies the added energy from anihalating matter with antimatter isn't that much of a contribution anymore that it would justify the added complexity.

Its predecessor collided positrons with electrons though. But the LEP was more for precise refinement of known interactions and not so much about reaching the highest possible energies.

Sure, but it doesn't just collide protons and antiprotons, does it?