. . . "to do it" . . .
Unless for some reason GoPro has removed DCI 4K (which was present in the Hero 3 Black), the Black should be able to it at 24 fps.
It's essentially the same specs of the current GoPro Black.
Red has designed their own sensors, too. Rumor has it that they are fabricated by Tower Jazz.
That wasn't the point I was making. Red clearly has had plans for a medium-format camera. And it has experience creating ultra-high-resolution sensors. (Jannard's comments, I believe, were restricted to comparisons of resolution alone, not frame size -- the resolution of the Red Dragon is comparable to that of 65-mm film.) It's just a matter of time before Red delivers a medium-format camera, and if resolution scales to some degree, it will be significantly more than 6.5K. And I say this with the disclaimer that I am no Red fanboy (like most, I prefer the look of the Alexa).
Red has had a medium-format camera on their development timeline since at least 2010. Epic already does 6K. An even bigger sensor could handle 8K or even more.