DL 3889 then DL 1365 at Detroit
Omaha → Detroit → San Antonio
Timetable, Detroit time
20:58DL 3889 from Omaha at the gate
20:30DL 1365 to San Antonio leaves the gate
23 h 32 apart on the timetable, overnight
DL 1365 leaves 23 h 32 after DL 3889 arrives on the timetable: more than half a day, so not a connection we count.