With set playertransform, there is a way to move a group of people.
On the button, one player pushes it...
[0000] Onactivate>Namedbrick[Baseplate]>toggleeventenabled 1 [on]
[1000] Onactivate>Namedbrick[Baseplate]>toggleeventenabled 1 [off]
On the baseplate, where the players are standing...
[0000] Onplayertouch>namedbrick[Teleporter]>Setplayertransform
I hope this makes sence to you all.
stuff, looks like this has already been ruled out. Sorry about that.