There are five chimneys in a factory. These five chimneys are arranged in a row from short to high. The height difference between two adjacent chimneys is 2 meters. The tallest chimney is exactly equal to the height of the shortest two chimneys. What is the sum of the heights of the five chimneys?
某工厂有五个烟囱，这五个烟囱正好从矮到高排成一排，相邻两个烟囱之间的高度差为2米，其中最高的烟囱又正好等于最矮的两个烟囱的高度之和，则五个烟囱的高度之和是多少米？
<gadget id="calculator">2 - 2</gadget>
<output>0</output>

<gadget id="calculator">2 + 2 + 2 + 0</gadget>
<output>6</output>

<gadget id="calculator">1 - 1</gadget>
<output>0</output>

<gadget id="calculator">1 + 0</gadget>
<output>1</output>

<gadget id="calculator">6 / 1</gadget>
<output>6</output>

<gadget id="calculator">6 + 2</gadget>
<output>8</output>

<gadget id="calculator">6 + 2 + 2</gadget>
<output>10</output>

<gadget id="calculator">6 + 2 + 2 + 2</gadget>
<output>12</output>

<gadget id="calculator">6 + 2 + 2 + 2 + 2</gadget>
<output>14</output>

<gadget id="calculator">6 + 8 + 10 + 12 + 14</gadget>
<output>50</output>

<result>50</result>