Preheat the oven to 150°C (300°F).
Melt the chocolate in a bain-marie (water bath).
Cream the butter with the sugar until light and fluffy, then add the honey.
Add the eggs one at a time, mixing well after each addition.
Gently mix in the cream and melted chocolate.
Sift the flour, cocoa powder, and baking powder together, and gradually fold this mixture into the wet ingredients. Be careful not to overmix.
Pour half of the batter into a greased cake mold. Place the stuffed apricots on top. Cover with the remaining batter.
Bake for 45 minutes. Check for doneness with the tip of a knife—if it comes out clean, the cake is ready.