Step 1

Puree berries and 1 cup ice cream in blender until smooth. Strain through a fine sieve, pressing on berry mixture to extract liquid. Discard solids. Transfer berry mixture to a clean blender with remaining 3 cups ice cream, and puree until smooth.

Step 2

Divide mixture among sixteen 2 1/2-ounce ice-pop molds, and freeze until hardened, at least 4 hours.