FR 1026 then FR 114 at Dublin
Budapest → Dublin → London Gatwick
Timetable, Dublin time
12:40FR 1026 from Budapest at the gate
07:05FR 114 to London Gatwick leaves the gate
18 h 25 apart on the timetable, overnight
FR 114 leaves 18 h 25 after FR 1026 arrives on the timetable: more than half a day, so not a connection we count.