Yes it is an G22! actually, the G22 is a sniper rifle specialized for the german army(folding stock) it's from the accuracy international company. and indeed it is one weapon of the AW (artic warfare)series. but not the AW338 lapua magnum it's 7,62mm.
i don't know whether the first picture was taken in afghanistan or at an multinational excercise in oman, jordan?!