Minty limey ginger cocktail

Description:
The ginger's taste would just fool you to thinking that there's a lot of alcohol in that cocktail. Quite refreshing, served this at directogräf's warming party.

Ingredients:
Homemade Ginger Syrup 150ml
Absolut Citron 200ml
Juice of 1 lime
Few thin slices of lime
10g crushed mint leaves
San Pellegrino or Apollinaris Classic 1 bottle (between 750ml to 1.2 litres)
Sprite 1 can

Directions:
Homemade Ginger Syrup
Ginger 200g
Water 500ml
Sugar 200g

Grate ginger finely and bring to boil in water for 20 minutes
Strain liquid, squeeze the strained ginger dry.
Return liquid to pan, add sugar and boil.
Leave the boiled syrup to cool.
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Combine all ingredients in a large jug with ice.
Stir and serve.