DL 951 then DL 6063 at JFK
Los Angeles → New York → Lima
Timetable, New York time
18:50DL 951 from Los Angeles at the gate
12:50DL 6063 to Lima leaves the gate
18 h apart on the timetable, overnight
DL 6063 leaves 18 h after DL 951 arrives on the timetable: more than half a day, so not a connection we count.