2. Peppa Pig is fetching water from a well. At the beginning, the bucket is just on the water surface. If Peppa turns the handle 12 times, the bucket is still 2 meters away from the well's mouth; if Peppa turns the handle 16 times, the bucket just reaches the well's mouth. Then the distance from the water surface to the well's mouth is $\qquad$ meters.
$8$