The generator matrix 1 0 0 0 1 1 1 0 1 1 X 1 X 1 0 X 1 1 1 0 1 X 0 X 1 X X 1 0 1 1 1 1 X 1 0 X 0 X 0 0 X 1 X 1 0 0 0 1 1 1 1 0 1 1 1 X X 0 X 1 0 1 1 1 1 1 X 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X X 1 X+1 1 X 0 1 1 1 0 1 1 X X 1 1 X+1 0 X X 1 1 1 1 X 1 1 1 1 1 1 1 X 0 0 1 0 X+1 0 X+1 1 0 1 1 0 X X 1 X 1 0 1 0 1 1 X 1 1 0 0 1 0 0 1 1 1 X X+1 X+1 0 X+1 X+1 0 0 X X 0 1 X 1 1 X X+1 1 X 1 0 X+1 X 1 0 1 X+1 1 X+1 0 0 X 0 0 1 X+1 X X+1 X X+1 X 1 0 1 X X+1 X X X 1 X+1 X+1 0 1 X 0 1 X+1 0 X X+1 1 X+1 1 1 0 0 0 0 1 1 X X+1 1 0 0 0 X+1 X+1 X+1 1 1 1 0 1 0 X X X+1 X X 1 1 1 1 1 X X X+1 0 0 X+1 X X+1 X 1 1 0 X+1 1 1 X X+1 1 X+1 1 X+1 0 1 X X+1 0 0 X+1 1 X X 1 X+1 1 X+1 1 X X+1 1 X X X+1 0 0 0 0 0 0 X 0 X X 0 0 0 X X X X X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 X X X X X 0 0 0 X 0 X X X 0 0 0 X X 0 X 0 0 0 0 0 0 0 X X 0 0 generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+20x^68+50x^69+58x^70+54x^71+49x^72+74x^73+36x^74+14x^75+31x^76+20x^77+23x^78+18x^79+14x^80+6x^81+1x^82+2x^83+11x^84+8x^85+7x^86+4x^87+3x^90+2x^92+2x^93+4x^95 The gray image is a linear code over GF(2) with n=148, k=9 and d=68. This code was found by Heurico 1.10 in 0.016 seconds.