Combine butter, sugar, eggs and vanilla. In a blender or food processor, process the oats until finely chopped. Then, in separate bowl, combine chopped oatmeal, flour, baking powder and baking soda. Add flour mixture to butter mixture. Gradually add the chopped milk chocolate chips and whole chocolate chips.
Roll dough into golf ball size balls. Press with fork. Bake for 6 to 8 minutes. Do not overbake. When they come out of the oven, the cookies will be soft. Place a chocolate chunk in the center.