They surpassed the previous record of 263-5, set by Royal Challengers Bangalore in 2013
Baki scored 244.7 on Sunday at the Belmont Shooting Centre in Australia on Sunday.
Australian favourite Dane Simpson took gold after setting a new Commonwealth Games record of 245.0, while India’s Ravi Kumar took the bronze.
Baki had placed sixth in the qualifying round to earn a spot in the final.