The lines \( \dfrac{x-2}{2}=\dfrac{y}{-2}=\dfrac{z-7}{16} \) and \( \dfrac{x+3}{4}=\dfrac{y+2}{3}=\dfrac{z+2}{1} \) intersect at the point \( P \). If the distance of \( P \) from the line \( \dfrac{x+1}{2}=\dfrac{y-1}{3}=\dfrac{z-1}{1} \) is \( l \), then \( 14\, l^{2} \) is equal to __________ .
