According to the forum rules, it is not allowed to make use a new account while one of your accounts banned.
25. Ban evasion (using or creating accounts while one of your accounts is banned) is not allowed.[e]
So expect for a new account to be ban again.
25. If you get banned (temporary or permanently) and create a new account to continue posting / sending PMs, it's considered ban evasion. The only exception is creating a thread in Meta about your ban.
You must understand this rule 25 and I think you have a chance to talk, about your permanent ban evasion here in meta section.
If you can give a great reason why you want to remove you from the banned list then do it with apologize and follow the rules of the forum to prevent you to get ban again in the future.
Do not say a crap. Who look at all of those people who were banned from the forum, but created new profiles to figure out reasons of the ban and to apologize and to promise not to do the same mistake again? I see such apologizing threads like daily here in Meta, but moderators, those who have power to unban the concrete user, just ignore all those prays. Be realist. I believe that many banned users simply start from the beginning without any hard bothering about waiting 3-6 months.