1. Cut apples into quarters, then remove the seeds, peel, and cut into pieces. Combine apples with the prunes in a large pot. Wash the limes. Grate 1 lime and put the lime zest aside. Squeeze the juice from all the limes. Add the water and lime juice to the large pot. Simmer with a lid for about 15 minutes.
2. Puree everything with a hand blender in a pot. Then pour through a fine sieve. Stir in lime zest and coconut syrup. Let it cool.
3. Beat egg whites until stiff and stir. Pour it into the ice cream maker to freeze the sorbet.
4. Cool glasses in advance or just freeze. Distribute sorbet into the glasses. Garnish with prunes, lime zest, and lemon. Serve immediately.

Tip: If you don’t have an ice cream maker, pour mixture into a bowl and freeze. Every now and then, stir vigorously into a creamy consistency.