Harsh Thakor states that Ribot (excellent though he undoubtedly was) holds the world record of 16 unbeaten runs. This is not the case.
That distinction goes to a Hungarian bred mare Kingscem, who retired undefeated, winning all of the 54 races she contested during her illustrious career. As a two-year old to five year old, and over four seasons(1876-79) she raced against the best Europe had to offer, and should be rightfully regarded among the greats.
* Technically, Puerto Rican horse, Camarero, held the world record (for consecutive wins; 56 in all (though I have since learned that an Asian trained horse has since surpassed that record) - but as Camarero's victories were against poorer class local rivals, its merits can only be viewed at face value.