The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 1 0 X 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 X 1 1 0 1 1 1 0 1 1 1 X 1 0 1 X X 1 1 1 1 1 0 1 1 0 0 1 1 1 1 X 1 1 0 0 1 1 1 X X 0 1 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 1 0 X+1 X 1 X+1 X+1 X 1 X+1 0 X+1 X 1 1 0 1 1 1 0 X+1 1 X+1 0 0 1 1 1 0 1 1 1 1 1 1 X+1 X+1 X+1 1 1 1 X 1 1 1 X 0 0 X 0 0 0 1 1 X X 1 1 1 1 X 1 0 X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X 0 X X X X X 0 0 0 X X X 0 X 0 0 0 X X X X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 X X 0 X 0 X 0 0 X X 0 X X 0 X 0 X X X X X 0 0 X X X 0 X X X 0 0 X 0 X 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X X 0 X X X X 0 X 0 X X X X 0 X 0 0 X X 0 0 X X X X X 0 X 0 X X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 X X X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X 0 0 X 0 0 X X X 0 X 0 X X X X X X 0 X X 0 0 X 0 X 0 X X 0 0 X X X X 0 X X X X 0 X X 0 0 X X X X X 0 0 0 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 0 0 X X 0 0 0 0 X X X 0 X X 0 0 0 X 0 X X 0 0 X X 0 0 0 0 X X 0 X 0 X X X X X 0 X 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X 0 0 0 X 0 0 X X X X X 0 0 0 X 0 0 X X X 0 0 0 X 0 0 0 X 0 X 0 0 X 0 X X 0 X X X 0 0 X X X 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X X 0 0 X X X X 0 X 0 X X 0 0 0 X X X 0 X 0 X 0 X 0 0 0 X X X 0 0 0 X X X X 0 0 X 0 0 0 X 0 0 0 X X X X X 0 0 X 0 X 0 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X 0 0 X X 0 X X 0 X X X 0 0 X X 0 X 0 X X 0 X 0 0 0 X 0 0 X 0 X X 0 X 0 X 0 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X 0 X X 0 0 X X X 0 0 X X X 0 0 0 0 X 0 0 0 X X X 0 X X 0 0 X 0 X X 0 X 0 X 0 0 X X X X X X X 0 0 0 X X 0 0 0 0 X X 0 0 X 0 0 0 X X X X generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+89x^72+32x^74+331x^76+212x^78+688x^80+448x^82+926x^84+872x^86+1124x^88+768x^90+926x^92+516x^94+597x^96+192x^98+266x^100+32x^102+119x^104+43x^108+6x^112+4x^116 The gray image is a linear code over GF(2) with n=176, k=13 and d=72. This code was found by Heurico 1.16 in 17.9 seconds.