Kohler Coil ?

If any one can shed some light on what I am trying to do ,it would be appreciated. I have a Kohler CV16S Spec. No. 61514 I need a coil for it . This is a twin Command Engine. But when I look it up it shows its an 18 H.P. There is a number on the coil that is shorted. 9420 . This is ignition only uses the plug wire and a ground wire for the shut off. Can any one tell me what I need for a coil/ Part Number. In the trouble Shooting info I Pulled off the Net it shows a coil 24584 15-S and a 24584 36-S. ??????



Thank You For any help you can give me.

Chuckster