Place all the ingredients except the chocolate chips and peanuts in a food processor. Blend until the mixture is well-combined, about 3 minutes, pausing to scrape down the sides of the processor. Leave the dough in the food processor and refrigerate for 15 minutes.
Place the dough on a large cutting board and press into a 9-inch square that's about 1/2-inch thick. Use a medium heart-shaped cookie cutter to cut the dough into hearts.*
Combine the remaining dough and press into a 1/2-inch thick piece. Cut dough into hearts until you have 18, and place hearts on a wire cooling rack on top of a cutting board.
To decorate, melt the chocolate in the microwave or in a double boiler and drizzle on the hearts. Sprinkle with chopped peanuts and allow the chocolate to harden before eating. Refrigerate leftovers.