Do you have a body on your kart? What engine are you running? Is it a stock engine? What's the turn radius? How long are the straightaways? How much staggered are you running?
Depending on the engine, I could see 15,500 on a Sprint track, but that would be with a much lower gear ratio.
Why the jack shaft? You could easily get 6.26 without it.
a lot depends on how much RPM you'll drop in the turns. Give it a try, but be prepared to take some teeth off the secondary and the axle. And of course it all depends a lot on what engine you're running.
Comments compliments criticisms and suggestions always welcome