Put all the ingredients for the base in a blender or mixer and mix well until you get a sticky smooth mass that you will easily retain its shape when you knead it. If this doesn't happen, you will probably need to add some more dates.
Put the dough for the base in a springform pan (22 cm/9 inch) lined with parchment paper and press until you have a nice, strong base which is evenly distributed over the bottom of your
Put avocado flesh, coconut oil, coconut milk (only the hard part), lemon juice and lemon skin in a blender and mix everything together until you get a creamy smooth mass.
Pour your mass onto the base.
Put the cake in the freezer for 1 or 2 hours until the avocado layer is hard.
Decorate your cake with kiwi (or any other fruits of your choice) and desiccated coconut.