Let the image of the point $P(1,2,3)$ in the line $L: \frac{x-6}{3}=\frac{y-1}{2}=\frac{z-2}{3}$ be $Q$. let $R(\alpha, \beta, \gamma)$ be a point that divides internally the line segment PQ in the ratio $1: 3$. Then the value of $22(\alpha+\beta+\gamma)$ is equal to