Cut the carrots into strips, boil them in salted water, drain them and fry them lightly with 4 tbsp butter. Pour them an even layer on a plate. Boil hard eggs and chop them finely, once cool. Finely chopped ham and stir it well with eggs and remaining softened butter. Season the mixture with pepper. Cut lengthwise not very large cucumbers, carve them and fill them with the mixture. Arrange them on carrots and serve.