DL 168 then VY 1208 at Barcelona
New York JFK → Barcelona → Stuttgart
Timetable, Barcelona time
08:40DL 168 from New York JFK at the gatealso AF 3597, KL 6039
06:30VY 1208 to Stuttgart leaves the gatealso IB 5394, LL 5394
21 h 50 apart on the timetable, overnight
VY 1208 leaves 21 h 50 after DL 168 arrives on the timetable: more than half a day, so not a connection we count.