Wash the strawberries well and remove the stems. Slice them in half and continue cleaning & slicing until you have 4 cups chopped strawberries. Add them to a blender.
Measure the yogurt, cream & vanilla into the blender. Zest and juice the lime and add that also. Pulse the blender until all the strawberries are well chopped and the mixture is completely blended.
Refrigerate the mixture for at least two hours.
Pour into an ice-cream maker and process as directed. Mine took about 30 minutes.