A "Brhug" can also be referred to as a "Bro Hug", and may occasionally be spelt as simply "Brug". A Brhug is a hug between to best buds, when either one of them, or both of them, are sad, lonely, helpless, or any other negative emotion.
A brhug is one of the strongest displays of affection, and a sign that basically, "i'll always be here for you bro"
It has brought many a bro back from the brink.
Bro 1: "Bro... She left me. My life is over"
Bro 2: "Don't be silly, bro. Let's brhug."
Bro 1: "Bro, i'm sorry i banged your mom"
Bro 2: "i'm sorry she gave you herpes"