Olmeca tequila Logo. Owned by the Pernod Ricard Group, Olmeca Tequila is a Mexican tequila from the Los Altos region, which is the Highlands of the Mexican State of Jalisco. Among other things, this region is famous for its tequila production. The bright red volcanic soil nourishes the blue agave while its high mineral content helps to encourage the growth of sugar-rich agave plants.