I also have 2001 zx6r..... with 14,500km in one season put on her, ive heard of CCT problems but i havent had one yet and i drive it pretty hard. The only 2 problems i have had was a leaky waterpump housing. A slow oil leak was coming out from just behind the waterpump housing, The dealer put some new sealant on and problem fixed. Also had an oil leak on one of the outer hydraulic lube hose banjo fittings on the right side of the bike, i think the hydraulic hose goes to the top end of the engine to lubricate the cams and so on. Found a puddle of oil under my bike one day, traced the problem to a loose fitting. tightened it up and away i went. Topped it up with oil b4 though! thats it for now i hope!
off like a prom dress!