McShep; Rodney meets alternate realities John

I read this story a few weeks back but did not save it. Now I cannot find it again. Hope someone knows what it is.

John touches some ancient machine- every 2 days a john from alternate reality comes to Rodney in Atlantis. Rodney gets to meet John from various realities and in most of them Rodney and John are together. Finally the correct John comes back.

This story is from Rodney's POV.

Is this familiar? Can some one help me?

Thanks
VT


Wow that was fast.
Found:
Taking The Long Way Home by Sardonicsmilley (link in the comments)