Using Stand mixer with whisk attachment cream butter until fluffy. Once fluffy add confectioner sugar mixing in one cup at a time. Once well blended add lime juice and coconut milk. You can add more or less coconut milk to get your desired consistency. Once incorporated add lime Zest and sweetened flaked coconut. Mix on your mixers highest setting until light and fluffy. Use immediately to frost and/or fill cakes, cupcakes and cookies.