Determine, by finding the bounded extrema, the points on the spherical surface with equation $x^2+y^2+z^2-2x+4y+2z-3=0$ that are closest$/$farthest to$/$from the plane with equation $2x-y+2z-14=0.$ Recall that the distance from a point $P_0(x_0,y_0,z_0)$ to a plane with equation $$:$Ax+By+Cz+D=0$ is calculated thus: $d(P_0,)=\frac{|A{x}_0+B{y}_0+C{z}_0+D|}{\sqrt[\phantom{2}]{A^2+B^2+C^2}}.$