Your best bet here would be to go through their support via the official site or twitter.
Keiga was kind enough to link you their Twitter. Here is their support page for bans:
https://support.runescape.com/hc/en-gb/articles/115002238729-Account-BansYou'll find the appeal ban link on this page. The wait time is long for these so Twitter might see better results.
At any rate, sorry to hear about your predicament, but these suggestions are about all we can do for you man. Best of luck.