BA 871 then BA 890 at Heathrow
Budapest → London → Tbilisi
Timetable, London time
09:50BA 871 from Budapest at the gate
09:25BA 890 to Tbilisi leaves the gate
23 h 35 apart on the timetable, overnight
BA 890 leaves 23 h 35 after BA 871 arrives on the timetable: more than half a day, so not a connection we count.