Priority weight refers to the importance or significance of a particular task or duty. There are several alternative words that can be used to convey the same meaning. Some synonyms for priority weight could be urgency, importance, primacy, superiority or preeminence. Urgency implies that the task needs to be completed immediately, while importance means that the task has great significance and cannot be ignored. Primacy carries the connotation of being the first in order or highest in rank, while superiority indicates that the task is of greater importance than others. Preeminence signifies that the task is of supreme importance and must take precedence over everything else.