Brightstar is a large military exercise done most every year. Not an expert on the exercise itself, never have having been one. Most of the time, for something like the jump in the vid, US equipment and personnel are used. The only other aircraft that I know about that has a similar configuration is the Airbus A400. However, the A400 wasn't in service at that time. There have been some jumps from C5s, but it's unusual.
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