SK 658 then DY 3658 at Copenhagen
Stuttgart → Copenhagen → Barcelona
Timetable, Copenhagen time
11:55SK 658 from Stuttgart at the gate
11:10DY 3658 to Barcelona leaves the gate
23 h 15 apart on the timetable, overnight
DY 3658 leaves 23 h 15 after SK 658 arrives on the timetable: more than half a day, so not a connection we count.