It might be Hidden Talents by David Lubar.
Every time Martin opens his mouth, he gets in trouble. He's just been dumped at the last place that will take him; a school filled with freaks, misfits, and psychotic bullies. His roommate starts fires, his new friends are thieves and cheats, and his teachers hate him. Then things start to get really weird.
This review mentions the psychic talents.
Everyone has given up on Martin. Even Martin. But at Edgeview Martin falls in with a group of five outsiders who make the other Edgeview rejects appear gifted by comparison. He makes a remarkable discovery: each of his friends possesses a remarkable talent. One is telekinetic. Another is empathic. Others have psychic abilities. Martin thinks these talents make them special. They think it makes them freaks.
No handprints on covers I've found, though.
