Antonyms for the phrase "went next," which conveys a sense of sequence or progression, include phrases that denote a lack of order or continuity. Examples of antonyms include "randomly," "haphazardly," "disorganized," or "chaotically." Additionally, antonyms could include terms that indicate a reversal of direction or intention, such as "turned back" or "diverted." Another set of antonyms would be terms that imply a steady, methodical process, such as "systematically," "orderly," or "methodically." Ultimately, the choice of antonym will depend on the context of the phrase "went next.