Watch on Soap2day. In 1986 Steve Berry led an expedition to climb the highest unclimbed peak in the world. It also happens to be the highest peak in Bhutan. Two years of laborious preparations had led up to the attempt to get the climbers on the mountain in the limited weather window between the end of the monsoons and the onset of winter. Their team almost reached the summit but they were driven off by horrendous storms. Due to the climbing restrictions in Bhutan, the mountain remains today as the highest unclimbed peak.