Preheat your oven to 400°F and line a large sheet pan with parchment paper for easy cleanup.
Dice the potatoes into small, uniform half-inch cubes to ensure they roast evenly and achieve a golden exterior.
In a large bowl, combine the diced potatoes, ground turkey, bell peppers, and red onions.
Season the mixture with olive oil, garlic powder, smoked paprika, sea salt, and black pepper, tossing thoroughly to coat every piece.
Spread the mixture onto the sheet pan in a single layer and roast for 20-25 minutes, stirring once halfway through, until the potatoes are tender and the turkey is cooked.
Remove the pan from the oven and use a spoon to create four small wells in the hash mixture.
Carefully crack one egg into each well and return the pan to the oven for 6-8 minutes until the whites are set but the yolks remain jammy.
Serve immediately while the hash is hot and the flavors are vibrant.