1. In a medium saucepan, combine the water and sugar and bring to a boil, stirring with a wooden spoon until the sugar dissolves. Reduce the heat to moderate and simmer for 5 minutes; let the sugar syrup cool.
2. In a blender or food processor, combine the sugar syrup with the basil, cilantro, mint, tarragon, lemon zest and lemon juice and puree. Let stand for 1 hour, then strain through a coarse sieve, pressing on the solids with the back of a spoon to extract as much liquid as possible.
3. For each drink, pour 1/4 cup of the fresh herb syrup over cracked ice and fill with club soda. Garnish the drinks with a lemon twist and mint sprigs and serve.
Make Ahead: The herb syrup can be refrigerated overnight.
Notes: Variation: To make a cocktail, add half a shot of vodka and half a shot of rum to each drink.