Add the kiwi fruit to a food processor and blend until pureed.
Combine the sugar and water in a saucepan and bring to a boil, whisking until the sugar dissolves. Turn o the heat and let the mixture cool.
Once cool, add it to the food processor with the kiwi and blend until you have kiwi syrup. This can be stored in the fridge, sealed well, for a week or so.
Make Cocktail:
Add the gin, lemon juice, simple syrup, Lemon Perfect Kiwi Star Fruit Lemon Water and egg white into a shaker and vigorously dry-shake (without ice)