3d Geometry

Let \(\lambda_{1}, \lambda_{2}\) be the values of \(\lambda\) for which the points \(\left(\frac{5}{2}, 1, \lambda\right)\) and \((-2,0,1)\) are at equal distance from the plane \(2 x+3 y-6 z+7=0\). If \(\lambda_{1} > \lambda_{2}\), then the distance of the point \(\left(\lambda_{1}-\lambda_{2}, \lambda_{2}, \lambda_{1}\right)\) from the line \(\frac{x-5}{1}=\frac{y-1}{2}=\frac{z+7}{2}\) is ____________.