The 16mm coupling nut has an internal thread size of 16mm but the outer size of the hex nut is 24mm and therefore fit into the 24mm socket making a 24mm hex bit socket. Here is a picture of the tool.
I ended up using masking tape to make sure the nut stayed in the socket.
I tried the 13/16 sparkplug socket turned upside down but I didnt get a good bite with it. 24mm is about 15/16 so I went looking for something in those sizes and found this coupling nut. It is 2 inches long so there is enough room for it to grip and the cost was very reasonable. It was located in the Menards metric bolt section and has Handi-Pack part number 88319 on the package.
Hope this clears things up a bit.
Rick F.