Place the butter in a small sauce pan over medium heat and cook for about 2 minutes - stirring frequently - or until the butter has completely melted. Remove from heat. Transfer the butter into a large mixing bowl. Add both sugars and the peppermint extract and, using a metal whisk, beat smooth. Beat in the eggs, one at a time, mixing well after each addition. Set aside. In a medium-sized bowl combine the flour, baking soda, salt, chocolate chunks, and Creme De Menth baking chips; whisk well to combine. Add the dry ingredients into the wet ingredients, stirring just until combined. Cover the bowl and refrigerate for 2 hours.
When ready to bake:
Preheat oven to 375 degrees (F). Line two large baking sheets with parchment paper.
Roll 3 tablespoon-sized scoops of dough between your palms to form a ball (they should be big; almost a 1/4 cup), then place on prepared baking sheet (make sure to leave enough room in between each cookie for inevitable spreading). Continue this process until all the dough has been rolled. Place baking sheets in preheated oven - one at a time - and bake for 8-10 minutes, or until golden at the edges but still soft in the middle. Let cookies cool for 10 minutes on the sheet before transferring to a wire wrack to cool completely. These cookies are best on the day they are baked, but will keep, in an airtight bag or container, for up to 4 days.
Notes
*Cookie dough may be made up to 48 hours in advance, but the dough will need to sit at room temperature for 20 minutes, or until it is still firm but scoopable. *Do not over bake these cookies. They are done when they are set at the edges, golden, and still a little soft in the center. *If you'd like your cookies to look like mine do in the photos, gently press a few extra chocolate chunks and Creme De Menth pieces on top of the warm baked cookies right when they come out of the oven.
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