World-renowned Swiss alpinist Ueli Steck climbed all 82 peaks over 4000m in the European Alps over 62 days in the summer of 2015. The project was entirely self-powered, using a bicycle to travel between the peaks and sometimes paragliding off the summits. Epic TV made a series of 4 beautiful videos documenting the project. The website describes it briefly as follows:
"Ueli Steck has been climbing for over 20 years and in that time he has become one of the most renowned and respected athletes of his generation. In an age of fast and light alpinism, Ueli Steck has driven the sport to new heights with revolutionary ascents all over the world.
In 2015, after several years of pushing the limits of his sport in the high ranges of the Himalayas, Ueli decided to return to the Alps to attempt a very different take on a classic alpine challenge; climb all 82 summits of 4,000 metres or above in the European Alps in less than 80 days, and to top it all off, to complete the challenge using only human power from start to finish.
The project starts in eastern part of Switzerland with Ueli's climbing partner Michi Wohlleben and the project supporter Daniel Mader. Join Ueli and the team as they battle their way through the highs and lows of a very classic alpine challenge in the Alps. EpicTV and Goal Zero present "The Classic Alpinist”, a special 4-part series. Stay tuned for part 2 coming out next Tuesday the 22nd of December."
It seems that Franz Nicolini and Diego Giovannini had done this same enchainment in 60 days, June 22 -August 19, 2008: https://alpinrunning.org/2015/08/05/franz-nicolini-not-only-the-82-4000m-of-the-alps-in-60-days/ and https://www.alpinejournal.org.uk/Contents/Contents_2009_files/AJ%202009%20245-255%20Griffin%20Alps.pdf
in 1993 Martin Moran and Simon Jenkins did all principal summits in the Alps in 52 days.
in 2004 Patrick Berhault and Philippe Magnin were doing-it when in Dom Patrick died.
in 2007, Miha Valic did in winter in 102 days but using car and lifts to transport from summit to summit
in 2008, Franz Nicolini and Diego Giovannini did in 60 days
in 2015 Ueli Steck did in 62 days