When I was sprinting down a strip in my mine, my minecraft was lagging, causing me to go forward really fast and then back to a place I was standing before. While trying to keep running until it stopped, I was banned for 'speed cheating' though this might have been the game seeing my character go from one place to another really fast because of the lag.
Yes, the anticheat tends to be a bit overzealous. However, you aren't actually banned. An automated ban system would be far too unreliable due to false positives, so anticheat only kicks players. You should be able to log back in immediately after the anticheat kicks you.
Please let us know if this is still happening. If it is still happening, and continues, please respond immediately after it happens again with an exact timestamp so I can find your kick in the logs and investigate accordingly.
