On the number line, consider the point $x$ that corresponds to the value 10. Consider 24 distinct integer points $y_1, y_2 \cdots y_{24}$ on the number line such that for all $k$ such that $1\le k\le 12$, we have that $y_{2k-1}$ is the reflection of $y_{2k}$ across $x$. Find the minimum possible value of $$\sum_{n=1}^{24}(\mid y_n-1 \mid + \mid y_n+1\mid)$$