Place sugar and finely grated lime zest into TM bowl and mill 20 sec/speed 10.
Add quartered limes and strawberries and a little of the water. Chop 3 sec/speed 7. Add some of the water through hole in lid and just combine. Allow to steep for about 5 minutes.
Strain out solids and return mixture to the bowl. Add remaining water and combine gently 3 sec/speed 3
Dilute to taste with sparkling water or prosecco. Serve with ice and sliced strawberries to garnish.