In bowl of mixer, cream together butter, white sugar, brown sugar until smooth.
Stir in the peanut butter, vanilla extract and egg until well blended.
In a medium bowl, combine the flour, baking soda, salt and oats. Stir to combine.
Stir dry ingredients into the bowl of mixer. Mix until just moistened.
Add the chocolate chips and stir until evenly distributed.
Use ice cream scoop like this one to drop large tablespoons of dough onto a lightly greased cookie sheet.
Bake for 11 minutes in preheated oven. The cookies will be slightly brown around edges and just barely golden brown on top. Allow to cool before handling.
Notes
I monitor and rotate the cookies in my oven at 7 minutes, then continue to cook them another 4 minutes. I like the outsides to be crispy and the middle to be gooey.