Longest way to mate with 1 queen against 4 queens What is the longest way to checkmate with 1 queen against 4 queens, with no other pieces on the board?

Since there are 13 moves long games with a queen vs two queens, I conjecture this should be possible also for this certain endgame, but I am not sure. The maximum position I know has the disadvantage that the first move is a capture. It would be nice if the first move is not a capture.
The best I could come up with is 7 moves, I don't believe it could take much longer, because with 4 queens there's not as much freedom as with 2, I cannot put black king in the middle of the board when capturing black queens while keeping king in check:

3q4/q7/q7/q7/8/8/8/k1K4Q w - - 0 1


And I made it nice as you asked -- the first move it not a capture! =)