Peak Immortality is a state that surpasses higher-level Immortality, a peak condition that an immortal being can evolve into through cultivation, and it is not a state that can be simply achieved by cultivating oneself. Rather, it requires the aid of external forces, for example, the Immortality of the Aztec—if not for the power of "Blue Sea Sun," he would merely be at the level of high Immortality.
Only with the power of the "Blue Sea Sun," his strength can truly be considered Peak Immortality.
Another example is the Battle Buddha Lord of the Western Heavenly Race, who possesses the infinite might of the Golden Rod, which is fashioned from the mythical root of the Cosmic Tree, therefore he is a Peak Immortal.
Peak Immortality is not a realm but a benchmark of strength. The ultimate realm that Immortal powerhouses can cultivate to is the higher-level Immortal realm after their souls solidify and form a Golden Core.