It probably needs to be a lot smaller than 14mm dia, not for clearance but to get the width/length combination about right.
If the shank on the Busch ones is 1/8″ then you probably want the 070.
Cross section of holes produced by 7mm and 14mm cutters, the 7mm slot is 6mm long and about what it is in the photo, the 14mm slot is 10mm long.

I have coloured the inside of the tube so the hole is easier to see, changing the included angle will alter the width relative to the length.
