DL 1218 then DL 3889 at Detroit
Austin → Detroit → Omaha
Timetable, Detroit time
16:05DL 1218 from Austin at the gate
16:00DL 3889 to Omaha leaves the gate
23 h 55 apart on the timetable, overnight
DL 3889 leaves 23 h 55 after DL 1218 arrives on the timetable: more than half a day, so not a connection we count.