The name of the biggest university system in Honduras is Universidad Nacional Autónoma de Honduras.
The correct answer is Universidad Nacional Autónoma de Honduras. To find this answer, you can search for information about the various university systems in Honduras. One way to do this is by conducting a web search using keywords such as "university system in Honduras" or "biggest university in Honduras." This will provide you with information on different universities and their respective systems in Honduras. By reading through the search results or visiting official university websites, you can determine that the Universidad Nacional Autónoma de Honduras is the largest university system in the country.