We just updated Autotune to make the 406 error a little clearer. On your site, the cause is because there is server security software called "mod_security" which is blocking our tools attempts to access your site. For more information on the error, and what to do, please see our
Common Support Questions
area. Specifically, the "What do these Autotune Error Check errors mean"?
I hope that helps you narrow down the issue and get the Autotune tool working for your site.
Thanks,
Alex