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Preheat oven to 350°F.
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Line 2 baking sheets with parchment paper.
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Using electric mixer, beat butter and sugar in large bowl until well blended.
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Beat in eggs and peppermint extract.
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Add flour, cocoa powder, baking soda, baking powder and salt and beat until well blended.
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Form dough into 1-inch balls.
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Place 2 inches apart on prepared baking sheets.
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Flatten balls slightly to 1 1/2-inch rounds.
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Bake cookies until edges begin to firm but center still appears soft, about 13 minutes.
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Cool on baking sheets 5 minutes.
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Transfer cookies to racks and cool completely.
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(Cookies can be prepared up to 5 days ahead. Store in airtight container at room temperature.) Makes about 48.