Coconut cream must be used in the recipe, NOT just coconut milk. They sell cans of coconut cream in some natural food stores. You will need just one can of coconut cream. Make sure you use just the cream and not the liquid from the coconut cream can. I keep my coconut cream in the fridge, as the cream only separates from the liquid when it's cold.
If you can't find coconut cream: take 2 cans full-fat canned coconut milk and place it in the fridge overnight. Remove from fridge and open, pouring out the liquid and keeping only the solid cream. And sadly, I have found a few brands that due to some kind of stabilizer (not sure which ingredient or fully why), it will never solidify in the fridge, so if that happens, it's not you ; ).