The antonyms for the phrase "in spitting distance" could include "far away," "distant," "remote," "out of reach," "unreachable," "inaccessible," "separated," "far off," "removed," or "distantly positioned." These words all stand in contrast to the specific connotation of close proximity and immediacy that "in spitting distance" implies. For instance, something deemed to be far off or distant may be completely out of the range of any immediate engagement, whereas "in spitting distance" would denote physical or emotional closeness. On the other hand, using antonyms like "far away" or "remote" illustrates the significant gap that exists between the speaker and what they're referring to.