Yep, Brown should be getting a call from the NHL.
70.2
Legal Line Change – A player who has entered the game on a legal line change or legally from the penalty bench (penalty time has expired) whostarts an altercation maybe subject to discipline in accordance with
Rule 28 – Supplementary Discipline.
Edit:
70.1
Leaving the Bench - No player or goalkeeper may leave the players’ or penalty bench at any time during an altercation or for the purpose of starting an altercation. Substitutions made prior to the altercation shall be permitted provided the players so substituting do not enter the altercation.