Place whole unpeeled potatoes in a large pot with enough salted water to cover by 1 inch. Bring to a boil over medium-high heat and cook until potatoes are just tender, 15 to 25 minutes depending upon size. Drain and cut potatoes into 1½-inch chunks as soon as you can handle them.

In a bowl, whisk together lemon juice, salt and olive oil.

Transfer hot potatoes to a large bowl and toss with dressing, scallions, mint and Turkish pepper. Let cool to room temperature, or refrigerate until ready to use. Just before serving, top with additional lemon juice, scallions, mint and Turkish pepper.