Actually, TLV-EZE would be about 13500 km (7300 nm) long. That is due to the fact that the direct path goes over the airspace of countries that would not allow an LY jet to fly over their territory.
According to Boeing's website, the 772ER's range is "between 11040 and 14260 km (5960 to 7700 nm)". It probably varies according to engine choice and the load of the aircraft. That means that a 772ER flying TLV-EZE will not be able to have its maximum load.
TLV-HNL is 13957 km (7536 nm) long, that complies with ETOPS 207 rules. That is stretching the 772ER's range to the limit. It would be able to carry even less payload than on TLV-EZE.
TLV-PER is 12221 km (6599 nm).
BTW, TLV-LAX is 12176 km (6575 nm) long, also complies with ETOPS 207.
Pacifism only works if EVERYBODY practices it