The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 1 0 X 1 1 0 1 1 1 1 1 1 1 1 X 0 0 1 1 1 0 1 0 X 1 1 X 1 1 1 0 1 1 0 1 1 1 1 X 1 0 1 0 1 1 X 1 1 1 X 1 1 X 1 X 1 X 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 0 1 1 X X+1 1 0 1 X+1 0 1 X 1 X 1 1 1 0 X+1 X 1 1 1 1 1 0 1 X 1 0 1 1 X+1 1 1 1 X+1 X 1 X+1 1 X 1 X 0 1 0 1 1 1 1 X 1 X 1 X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X 0 0 0 0 X X X 0 X X X X X 0 0 0 0 X X 0 X X X 0 0 X 0 X X 0 0 0 0 X 0 X 0 0 X 0 X X X 0 0 0 0 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X 0 X X X X 0 X 0 0 X X 0 X X X X 0 X 0 0 X X 0 0 0 X 0 X X X X 0 0 X X X 0 0 0 0 X 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 X X 0 0 X 0 X X 0 0 X X 0 X X X X X 0 X X 0 0 X X X X X X X 0 0 X X 0 X X X X 0 0 X 0 0 X 0 X 0 X 0 0 X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X X 0 X X 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X 0 0 X X 0 X X X X 0 X 0 0 X 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X X X X X 0 X 0 0 0 0 X 0 0 0 X X 0 0 0 X 0 0 X X 0 0 X 0 X 0 X 0 X X X 0 0 0 0 X X 0 X X 0 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 X X X X X X 0 X X 0 0 X 0 0 X X X X X 0 0 0 0 0 X X 0 X X 0 0 0 0 0 0 X X X X 0 0 X 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 X X X X X X X 0 0 0 X 0 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 X 0 0 0 0 0 X X 0 0 0 X X X 0 X X X 0 X X 0 0 X X 0 0 X 0 generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+59x^72+28x^73+46x^74+82x^75+106x^76+114x^77+120x^78+116x^79+107x^80+108x^81+137x^82+120x^83+87x^84+120x^85+85x^86+108x^87+75x^88+120x^89+64x^90+86x^91+57x^92+22x^93+21x^94+12x^96+18x^98+5x^100+11x^102+2x^104+6x^106+1x^108+3x^110+1x^114 The gray image is a linear code over GF(2) with n=166, k=11 and d=72. This code was found by Heurico 1.16 in 1.05 seconds.