Syracuse Salt Potatoes

Bahan-bahan (6 porsi)

• 3 pounds small new potatoes (white or red, about 1 inch in diameter)
• 1/2 cup fine sea salt (see note below if using kosher salt)
• 3 quarts water
• 1/2 cup (1 stick / 113 g) salted butter
• 3 cloves garlic, pressed or grated
• freshly-cracked black pepper (optional)