Preheat oven to 325 degrees. Lightly spray a cookie sheet and set aside.
Cream butter and sugars until light and fluffy then mix in eggs until combined.
Combine flour, baking soda, salt, lime zest and basil in a separate bowl then add to butter mixture.
Scoop dough by heaping tablespoons and roll into balls. Place 2" apart on the prepared cookie sheet, gently pressing down the centers.
Bake 10-12 minutes and allow to cool completely.
To make the icing, combine powdered sugar, milk, butter and corn syrup. Mix until smooth then spread over cooled cookies. While the icing is wet, sprinkle with lime zest to garnish. Enjoy!
Notes
The unique flavor combination of basil and lime leaves a nice refreshing aftertaste!