we have 25k engines on our 320. just calculated the performanse in Corfu with your data (40 degress, 6 knots tailwind and so on). MTOW in corfu with our performance is 57,4, TOGA, flaps 2 and V2 of 132. (rwy length not shortened) Quite a difference.
I also think that most probably the APU was off. But having the Apu on from engine start until after takeoff consumes approximately 20 kg of fuel (if it runs for 10 minutes or so). That makes 10 euros. In my company supplying the packs via the APU is the prefered method instead of switching the packs off for 2 reasons.
1: improved ventilation of the cabin (better than solely via the cabin fans)
2: switching the packs on after thrust reduction can be pretty uncomfortable for the passengers
That is worth 10 euros for us. Service and pax comfort is more important for us than saving fuel or money (not a LoCo)
Letīs wait for the report but once again I also think APU was off but could have been on.