There are a number of synonyms for the phrase "has weight of". Some options include "is significant," "holds a certain gravity," "carries a degree of importance," "packs a punch," or "commands attention." Depending on the context of the sentence or statement, different synonyms may be more or less appropriate. For example, if discussing a scientific discovery, "has weight of" may be replaced with "carries scientific evidence to support." Alternatively, when describing a powerful speech given by a leader, "has weight of" may be replaced with "conveys a strong message". Regardless of the synonyms used, each convey the sense that something is serious, influential, or substantial.