QR 11 then BA 562 at Heathrow
Doha → London → Rome
Timetable, London time
06:25QR 11 from Doha at the gate
19:15BA 562 to Rome leaves the gate
12 h 50 apart on the timetable
BA 562 leaves 12 h 50 after QR 11 arrives on the timetable: more than half a day, so not a connection we count.