I just added this.
Note that in order to get the BP, you must stay in the game all the way to the end (scoreboard). Else the game doesn't know who was in the clan war game.
For every point that the winner clan gets, all the winner members will get 350 BP for each point with a maximum of 6000 BP.
The loser members will get half of that.
To give you an idea, a 2v2 CW with 4-0 results in 4 winner points. 1400 BP.
3v3, 4-2, 14 points. 4900 BP.
A 5v5 or 4v4 CW usually results in the maximum amount of BP that you can win. 6000 BP.