We are not able to reveal how we detect cheating, as that would just let the people who develop these cheats know how our security works and how to avoid it. We have firm evidence, though, that your account has been engaged in cheating. Please note that you are responsible for what happens on your account - if you choose to share your account information with another player and that other player cheats on your account, the account will still be suspended.
As we have determined that we will not be reopening this account, we must consider this matter closed, and will no longer respond to support tickets about this account.
Thank you for letting me assist you in this matter. Have a great day!
-Larry