Batman didn't turn his head to look at Tim. He glanced slightly at his former apprentice, "Not a good time, but..." His sentance was cut off, the sound of gunfire echoed off, coming from above. Batmans vision cut from the Joker to the walkway, he didn't check if Joker was still alive. He was gone by the time Punisher could have looked his way, vanishing in the darkness, his last words told Tim that he was going to handle the gunman himself. His apprentice should know to stay away at those words.
Batman with his grappeling hook launched up to the walkway above where the bullets rang off, he knelt down at the scene before him, analyzing the type of rounds with his goggles he glanced up and looked down the pathway where footprints lead, seeing heat signatures going that direction. Using his goggles he found a trace of the guns rounds, following the trace it lead down the walway, he followed it. Ever so silently he made his way forward.
Finally he was there, from an angle, hidden behind a piller. He saw the form of the Punisher making his way from the scene where he shot at the Joker. Batmans keen eye followed the man, then he was moving again. His vehicle was very close to sending off its timed surprise, something that would help Batman alot most likely.
"You don't belong here Frank," Came Batmans voice from the shadows, he didn't stay in one place he was moving. He was hidden, he was after all a master of stealth, the Dark Knight. He knew not to charge an armed man even though his body armor would protect against the rounds, he knew from past experience. Frank was a good shot, so he waited. Going to talk it out for the moment.