DL 706 then DL 678 at Atlanta
Denver → Atlanta → New Orleans
Timetable, Atlanta time
18:01DL 706 from Denver at the gate
17:55DL 678 to New Orleans leaves the gate
23 h 54 apart on the timetable, overnight
DL 678 leaves 23 h 54 after DL 706 arrives on the timetable: more than half a day, so not a connection we count.