Preheat oven to 160 degrees celsius (fan-forced).
Grease and line a 22cm x 8cm loaf tin with baking paper and set aside.
Place the caster sugar, coconut, melted butter, eggs, greek yoghurt and lemon zest into the Thermomix bowl and mix for 10 seconds, Speed 4. Scrape down the sides of the bowl and repeat for a further 5 seconds or until well combined.
Add the self raising flour and mix for 5 seconds, Speed 4. Scrape down the sides and repeat for a further 5 seconds.
Use the spatula to fold the strawberries through the mixture.
Spread the mixture into the prepared tin and bake in the oven for 60 minutes or until a skewer inserted into the middle comes out clean.
Allow the loaf to cool in the tin for 10 minutes before transferring to a wire rack to cool. Dust with icing sugar just prior to serving (optional).