If K2 isn’t enough there's more 8000m options on the north side of the Karakorum that include all of the Gasherbrums and broad peak. Often overlooked, both broad peak and the Gasherbrums have their northern & eastern sides in china. Despite being well visited objectives from the Pakistani side, from China they have only had a handful of visits, even less than k2. Each sits at the end of their own glaciers and trips to these peaks are a step beyond even k2, but entirely doable.
Accessed via the same approaches as k2, getting to broad peak & Gasherbrum basecamps requires another one or two days, then like k2, carries to higher camps further up the glaciers. Even less frequented than k2’s lower camps, these are absolute 8000m wildernesses with more complex and barely recorded aspects to the climbing.
For the 8000m expedition aficionado these trips are truly the final word in great peak climbing with as yet no climber having summited multiple – let alone all – 8000m peaks in the Chinese Karakorum, certainly one of the great unclaimed high altitude objectives.