Hi, I remembered seeing this quite a while back. I know the song by the name of Pri?re -プリエール- by SOUND HOLIC.
A quick search gives me this link, it's the first I've found with the relevant animation attached to it (and not just the song on its own).
https://www.youtube.com/watch?v=lWMBnFoSrWUI believe it isn't part of an actual anime project (someone do correct me if I'm wrong) but instead that it was simply made for the song.