Consider a line \( L \) passing through the points \( P(1,2,1) \) and \( Q(2,1,-1) \). If the mirror image of the point \( A(2,2,2) \) in the line \( L \) is \( (\alpha,\beta,\gamma) \), then \( \alpha+\beta+6\gamma \) is equal to ________________.
