The '95-'97 ZX-6R had a problem with the tank vent. On the left side are two tubes behind the stator cover and in front of the gear shift. One of them has a plastic catch can on it and attaches to the airbox. The other is the tank vent and attaches to the bottom of the fuel tank. Inside the tank is a metal tube that run up to near the bottom of the fuel cap. Anyway, that metal tube develops a crack by vibrating near the bottom of the tank and fuel leaks into the vent tube and leaks out on the ground.
Make sure that is what is happening on yours. If it is I can show you how to fix it cheap.
Make sure that is what is happening on yours. If it is I can show you how to fix it cheap.