Double Premium

It's difficult to accurately identify a food named "double premium" without more context. There are several types of food that could fall under this name, and it's possible that it's a regional or local dish that's not widely known.

Could you provide me with more information about the food you're thinking of? For example, what part of the country have you seen it on menus, or what type of cuisine is it (e.g. Italian, Mexican, Chinese, etc.)? Any additional details you can provide will help me narrow down the possibilities and try to identify the dish you're thinking of.