There are waaaay too many possible combinations for there to be only 14 faces. I do agree that there appears to be certain repeated facial phenotypes, but I imagine there are at least a hundred.
Basically, there are only so many possibilities for each point. Widow’s peak or not. Round, oval, diamond, etc. face. Round chin, square chin. Prominent chin, small chin. Pronounced cheekbones, subtle cheekbones. Thin nose bridge, thick nose bridge. Wide nose, narrow nose. Full upper lip, thin upper lip. Full lower lip, thin lower lip.
And so on, for an array of different points. This provides humans with amazing diversity, something which has helped us become such a successful species. So, it’s like rolling a die for each point. You’ll get a lot of randomness and people who don’t look alike. Eventually, just out of sheer randomness, you’ll end up with people who do share the same traits on all or most points and they will share a similar phenotype.