The antonyms for the phrase "second distance" would primarily depend on the context in which it is used. Generally speaking, antonyms could include terms such as "closest proximity," "immediate vicinity," or "adjacent location." In cases where "second distance" is used to express a greater degree of separation, antonyms could include "close range," "nearby vicinity," or "proximal distance." Alternatively, the concept of "second distance" could be seen as the midpoint between two locations, in which case antonyms could include "farthest distance," "outer limits," or "distant horizon." Ultimately, the antonyms would depend on the specific context and intended use of the phrase.