In a large bowl, combine the eggs, peanut butter, brown sugar, granulated sugar, and vanilla. Use a rubber spatula or wooden spoon to mix everything together.
Mix in the oats, baking soda, and salt.
Add the chocolate chips and mix well.
Cover the bowl with plastic wrap and chill the dough in the refrigerator for 1-3 hours.
After chilling the dough, preheat the oven to 350°F.
Use a heaping tablespoon of the cookie dough to portion cookies and place on parchment-lined baking sheet. Leave about 2 inches between each cookie.
Bake for 8 minutes, or until edges are slightly golden brown. Remove from the oven and let cool.