I'll be handling your appeal from here.
After investigating more into your case, I feel that it is safe to conclude that you are indeed avoiding punishment.
Alongside the three accounts posted above by the previous Senior Admin handling your appeal, I also found other accounts.
https://steamcommunity.com/profiles/76561199067874641 (This one has a VAC Ban on it)
steamcommunity.com
steamcommunity.com
I still find it hard to believe that, a total of you and your three brothers, would have six accounts total that are used normally, with one of them having a VAC ban on them. I also find it hard to believe that the four of you would also speak in a very similar manner over text chat.
Appeal Declined.