I don't know about the "can share a meaning" bit, but:

homophone noun each of two or more words having the same pronunciation but different meanings, origins, or spelling, e.g., new and knew . • each of a set of symbols denoting the same sound or group of sounds.

also see:

homograph noun each of two or more words spelled the same but not necessarily pronounced the same and having different meanings and origins (e.g., bow 1 and bow 2 ). DERIVATIVES homographic adjective

So, maybe you need two words to express what you mean: "synonymous homophones" for example.