A line with direction ratios \( 2,1,2 \) meets the lines \( x=y+2=z \) and \( x+2=2y=2z \) respectively at the points \( P \) and \( Q \). If the length of the perpendicular from the point \( (1,2,12) \) to the line \( PQ \) is \( l \), then \( l^{2} \) is __________.
