In this study, we obtain Fano planes whose points are (n-1)-dimensional subspaces and lines are (3n-1)-dimensional subspaces of P in (7n-1)-dimensional projective space P ,using (n;k)-SCID. We give examplesof Fano planes whose the lines of Fano configuration are planes and the points are points ofPG(6,2)and thelines of Fano configuration are 5-spaces and the points are lines ofPG(13,2).