Preheat oven to 175°C (or 350°F).

In a big bowl mix the flour, sugar and baking powder.

Add the butter and stir until the mix starts forming a dough.

Stir in the dairy free cream.

Mix in the dried basil.

Finally add the blackberries.

Put the dough on a baking sheet.

Put in the oven for 12 to 20 minutes (depending on how thick they are).

In a small bowl mix the lemon juice with the powdered sugar.

Drizzle the icing over the cookies once they are done.