mathematics - Peaceable Bishops on an 8x8 grid

Place an equal number of red, white and black bishops on a 8x8 chess grid, such that no two bishops of different colours attack each other. What is the largest number of bishops you can place? Bonus question: can you add more bishops of one colour?

Here is a similar question with queens: Discrete Peaceful Encampments: Player 3 has entered the game!

Answer

Can this be improved?

14,14,16
$$\begin{array}{|c|c|}\hline A&C&A&&&B&C&B\\ \hline C&A&C&A&B&C&B&C\\ \hline A&C&A&&&B&C&B\\ \hline &A&&&&&B&\\ \hline &B&&&&&A&\\ \hline B&C&B&&&A&C&A\\ \hline C&B&C&B&A&C&A&C\\ \hline B&C&B&&&A&C&A\\ \hline \end{array}$$