Unfortunately, you don't have a chance of getting your account back. From Jagex's permanent ban FAQ:
The duration of a ban is dependent on the severity of the offence. If an account has been permanently banned, it is because we feel that this is the correct punishment. We appreciate the account owner may not agree, but our decision is final.
All players who have been banned for macro use receive a second chance as we allow them to create a new account and start afresh. As long as they resist the temptation to use a macro program, they have no reason to fear their account being banned for macro use.
Basically, they permanently banned you because they thought that you deserved to be banned forever. All you can do is make a new account.
Are you sure that's the hard and fast truth and not just the PR response...?
It's the PR response, but the support team seems to stick to it.
Also it's worth mentioning that the OP wouldn't have been banned if he only actually botted 100k-ish xp. It sucks to accuse someone of lying, but Jagex just doesn't ban people for running a bot for less than an hour.