The world's highest swing is 33 stories high. Yes, 33 stories. It's in South Africa, and you jump off the huge Oribi Gorge. The video above makes it look like a hell of a lot of fun (and a lot safer than this human slingshot), but be warned: you're gonna want to keep it on mute unless you're a big fan of brain-meltingly crappy techno.
None of the music in the video is techno. It's also a rope swing, not a typical swing.
The biggest issue I see with it giving a swinging experience is there's too much slack in the rope initially. That means most of your movement is on the vertical and this ends up having a bungee effect instead of rocketing your forward and up again at the other end.
Still looks like fun though.