They were followed by Charles Coody and Don Bies at 286.
One shot higher is Don Bies, who also had a 67.
Bob Murphy, Lee Trevino and Don Bies also share that 54-hole mark.
After the first round of the Vintage, Don Bies came in with a 68 that included a six-under par 30 on the back nine.
That topped the previous record of 202, set by Don Bies in 1988.
Barquin was portrayed by Don Bies in an uncredited role.
Don Bies, who hadn't won a PGA Tour event in 13 years, played today as if finishing first were old hat.
Another stroke back alone in third is Don Bies.
Don Bies of Seattle shot a 67 on the 6,501-yard, par-72 Inglewood Country Club course.
Charles Coody tied the tournament record by winning in 1991, the year he and Don Bies broke the course record for 18 holes with 62.