Wash the lime hot, grate dry and finely grate the peel. Halve lime, squeeze juice and mix with honey. Fold in oil in a thin stream. Season with salt and pink pepper. Peel papaya, cut in half lengthwise and remove seeds with a spoon.
Cut the fruit flesh into thin slices. Drain the palm hearts, let them drain and cut into diagonal slices.
Cut the avocados in half. Remove seeds, peel the flesh and cut into thin slices, mix with the vinaigrette. Wash the coriander, shake dry and chop coarsely, except for a few leaves for garnishing.
Add papaya, palm hearts and coriander to the avocados and mix. Season with salt and sugar. Arrange salad in bowls and garnish with coriander and pink berries.