AA 4639 then DL 6063 at JFK
Boston → New York → Lima
Timetable, New York time
07:30AA 4639 from Boston at the gate
22:50DL 6063 to Lima leaves the gate
15 h 20 apart on the timetable
DL 6063 leaves 15 h 20 after AA 4639 arrives on the timetable: more than half a day, so not a connection we count.