There are only 2 players in the entire league with 20+ games played and zero points. They are New Jersey's Merrill with 22 games played and Tampa Bay's own Matthew Carle with 25 pointless games. Now if you extend it back to last season sadly Merrill's streak is only 24 games while Carle's is 31. I'm assuming that's the longest pointless streak among active players but at least he's only paid 5.5m
Hopefully TJ can last at least 2 shifts tonight