As far as i know lufthansa augments based on great circle distance between departure and destination airport. From 4200NM on they need three pilots, plus a few extra city-pairs that are below the required mileage but are deemed above a certain fatigue level. No idea about the maximum flight duty time though.
Air Berlin does it similarly, however they use 4350NM and only a full flat business seat with a sound and light mitigating curtain as rest facility instead of a crew bunk. Maximum allowable flight duty time with two crew members is 14 hours (EU OPS subpar Q limit), augmented with the current rest facility up to 14:30 hours is possible, if the aircraft is equipped with a crew bunk (not currently the case) up to 16:30 is possible with three pilots. However that contract is up for renegotiation right now. There are some additional rules, example for two sector duties.