Let a line \( L \) pass through the point \( P(2,3,1) \) and be parallel to the line \( x + 3y - 2z - 2 = 0 = x - y + 2z \). If the distance of \( L \) from the point \( (5,3,8) \) is \( \alpha \), then \( 3\alpha^{2} \) is equal to __________.
