Wow, that was fast! 4 Minutes after posting. It is actually not the solution I had in mind, but that's my bad. I should have included an extra instruction: You cannot use the same color + number of eyes combination twice. Now you solution is also correct :-)
Congratulations @stevespring! I will transfer the prize to you :-)
Thank you, what was your solution?
Blue 3 | White 4 | White 5
Each row and column adds up to 12 and no double combinations ;-)