Easy Potato and Tuna Nicoise

Name: Easy Potato and Tuna Nicoise
Ingredients: 8 tablespoons extra virgin olive oil divided; 1 teaspoon herbs de provence; 1 lb. 8 ounces fingerling potatoes, halved or quartered depending on size; 8 ounces green beans trimmed; 1 cup cherry tomatoes; 1/3 cup nicoise or kalamata olives; 1 lb. ahi tuna steaks; 2 tablespoons white balsamic vinegar; 2 teaspoons fresh lemon juice; 1 teaspoon dijon mustard; 1 teaspoon maple syrup; 4 large eggs; salt and pepper to taste; mixed salad greens for serving