A homonym is a word that is spelled and pronounced the same as another word, but has a different meaning. Since "patience" is a unique word with a specific meaning, there isn't another word that fits this definition.
However, there are near homonyms that are close in sound and meaning, such as:
* "patients" - This word refers to people who are receiving medical treatment, and it sounds very similar to "patience."
* "paints" - This word is pronounced similarly, especially in casual speech, and refers to colored substances used for decorating or painting.
While these words aren't true homonyms, they might be what you're looking for if you need a word that sounds similar to "patience."