The account "WapCity" was banned for hacking.
The account "lazyturtle01" was banned for ban evading of the accounts Wapcity and pepper0nipaul.
The account "pepper0nipaul" was banned for hacking (the 2nd and permanent ban coming a day after the first temporary ban ended).
You are responsible for your own IP and anything that happens on any account on it. No one on your IP is permitted to play on an alt if one of your accounts has already been banned (this is what happened in your case).
After 40 fairly insubstantial posts on this thread, I hope this can help you and others to understand the situation.
All this information was taken from
www.bans.manacube.com.
By the way, if you haven't appealed you should do so ASAP. It's the best chance you have of being unbanned.