Hullo. PhD in genetics here.
There's no such thing as a strong gene scientifically, and the term 'strong genes' means the person speaking is either clueless, trying to make a joke or some kind of nazi eugenicist... :)
Genes can be dominant or recessive, and some genes are expressed differently depending on the parent they come from. It'd take me far too long to explain and it's all on t'internet if you're interested.
...but what he basically meant is that facial symmetry is an indicator of several things associated with good condition in the organism as a whole. People who have symmetrical faces are rated more attractive in tests, and there's some evidence they have stronger immune system and better reproductive fitness. Kind of like how women with a certain hip to waist ratio are seen to be more attractive and seem to have better reproductive fitness.
So he was kind of right, but a very non- scientific way of putting it.
Incidentally, being mixed race means you've a lower chance of inbreeding, which is generally a Very Bad Thing in humans (some exceptions apply, but generally, don't marry your cousin, and marry someone from as far away as you can.) it's incredibly UN-PC to say, but there is a major problem in some communities in the UK with cousin marriages. The percentage of children born with disabilities that could have been avoided if people didn't marry so closely is heartbreaking.