Chunky Pea and Leek Soup with Poached Eggs

unsalted butter

large leeks, tough greens removed and finely sliced

medium yellow onion, diced

frozen peas

low-sodium chicken stock

salt

freshly ground black pepper

cayenne pepper

freshly squeezed lime juice

heavy cream

fresh basil, mint, or dill for garnishing

extra virgin olive oil, for drizzling