DL 231 then DL 6063 at JFK
Rome → New York → Lima
Timetable, New York time
16:50DL 231 from Rome at the gate
12:50DL 6063 to Lima leaves the gate
20 h apart on the timetable, overnight
DL 6063 leaves 20 h after DL 231 arrives on the timetable: more than half a day, so not a connection we count.