If you can't find Coconut Syrup you can make your own.
Add 1 cup water and 1 cup Sugar to a pan and bring to a boil stirring occasionally. Allow to boil for 3-5 minutes.
Remove from heat and add coconut flavor.
Allow to cool.
cut lime into quarter lime wedges.
In a large glass (approx 24 oz) fill half way with ice.
Add coconut syrup and squeeze 2 lime wedges over ice.
Toss squeezed limes into glass.
Add Coke.
Add 1-2 tablespoons of half & half or cream and serve. Note that lime juice will tend to try and curdle the cream.