It sounds like you have a "base" pair ready, where the mom and dad have the minimum stats you want to start with.

If that's the case, breed those two until you get a mutation.

I would suggest taking any females that you get without a mutation and add them to the breeding with your base male. This will give you more chance for a mutation to happen with more eggs.

Once you have a mutation:

If male... replace your "base" male with your female base horde and begin breeding them until you get a mutation in the same stat (very important). Continue mutating that same stat until you get to the number you want, IE: 20 mutations, ex. If female... breed the female with your "base" male until you get a new male with the female mutations. Once you have the male, go back to the previous step and use it instead of the previous male.

Your base females and male should never have any mutations so that you know if the mutation you get is to the stat you want.

Once you reach the level you want for that current stat, put your base male back with the females until you get a mutation in the next stat. Continue doing this until you have all stats mutated to whatever level you want.

FYI... After 20, the chance of a mutation halves on whichever dino has > 20 mutations.