BA 555 then BA 1338 at Heathrow
Rome → London → Newcastle
Timetable, London time
17:35BA 555 from Rome at the gate
16:05BA 1338 to Newcastle leaves the gate
22 h 30 apart on the timetable, overnight
BA 1338 leaves 22 h 30 after BA 555 arrives on the timetable: more than half a day, so not a connection we count.