Boil the eggs hard for about 10 minutes. Cook pasta in boiling salted water according to package instructions. Clean and wash the broccoli and divide into small florets. Cook in boiling salted water for about 5 minutes, drain and drain.
Quench the eggs, peel and cut into eighths. Drain tuna and capers on a sieve. Mix mayonnaise and yoghurt. Peel garlic and press it through a garlic press to make mayonnaise. Season with salt, pepper, lemon juice and sugar.
Pluck the tuna a little smaller and fold into the sauce with the capers. Wash the basil and cut the leaves into strips, except for a little to garnish. Add to the sauce. Wash and halve the cherry tomatoes.
Put the pasta, broccoli, eggs, olives and tomatoes in a large bowl. Carefully fold in the sauce, season to taste again. Garnish with basil.