Put table tennis balls in 10 boxes, and the number of balls in each box cannot be less than 11, cannot be 17, and cannot be a multiple of 6, and they are different from each other, then at least how many table tennis balls are needed.
在10个盒子中放乒乓球，每个盒子中球的个数不能少于11，不能是17，也不能是6的倍数，并且彼此不同，那么至少需要多少个乒乓球．
<gadget id="calculator">11 + 13 + 14 + 15 + 16 + 19 + 20 + 21 + 22 + 23</gadget>
<output>174</output>

<result>174</result>