In the bowl of a food processor, combine the peas with the goat cheese, olive oil, Parmesan, mint, garlic, lemon zest, lemon juice, and a generous pinch of salt and pepper. Puree until smooth, scraping down the sides of the bowl as you go. If your dip is really thick, then add more olive oil, 1 tablespoon at a time. Adjust the seasoning with more lemon juice, salt, and pepper, as needed. Scrape into a serving bowl.