The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 X 1 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 X 1 1 1 X 1 1 1 1 0 1 0 X 1 X 1 1 0 0 1 1 1 1 X 1 1 0 1 1 1 1 1 X 1 0 X 1 0 1 0 1 0 0 X 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 1 0 X+1 X X+1 1 0 X+1 1 0 X+1 1 0 X 1 1 X+1 X+1 0 1 X+1 1 1 X 1 X X+1 1 0 1 X+1 1 0 1 X+1 X 1 0 1 1 1 0 0 X+1 1 1 1 0 X+1 X 1 X X+1 1 0 X 1 1 X 1 1 1 X 1 X X 0 X 1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X 0 X X X X 0 0 0 X 0 X 0 X 0 X X 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 X X 0 0 X X 0 X 0 0 X X X X 0 X X X 0 X X 0 0 X X X 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X X 0 X X 0 X X 0 X 0 0 X X X X X 0 X 0 X X 0 0 X X X 0 X 0 0 0 0 0 X X 0 X X X X 0 X 0 0 X 0 0 X X X 0 X 0 0 0 X X X X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 X 0 0 0 0 X 0 0 X X 0 X X X X 0 0 0 0 X 0 0 0 X X X X X X 0 X 0 0 0 X X 0 0 0 X X 0 X 0 0 0 X 0 0 X 0 0 X X 0 0 X X X 0 X X 0 X X 0 X 0 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 X 0 0 0 0 0 0 0 X X X X X X X X X X 0 X X X X X X 0 X 0 X 0 0 0 X X 0 X 0 X X X 0 X X X 0 0 0 X X 0 X X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X X X X X X 0 X 0 X 0 X 0 0 X 0 0 X 0 X X X 0 0 X 0 0 X 0 X X 0 0 0 X 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 X X X 0 X X 0 0 X X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 0 0 X X X X X X 0 X 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 0 0 X X X 0 0 X X X X 0 X 0 0 0 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 0 X 0 0 0 0 X X X 0 X X X 0 0 0 0 0 0 X 0 0 X 0 X X X X X X X X 0 0 X 0 0 X X 0 X X 0 X X 0 X X X 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 X X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X 0 0 X X 0 X X X X X X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 X X X X X 0 X 0 0 X 0 0 X X 0 0 0 X 0 X X X 0 0 X 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X 0 X X X 0 X 0 0 X X X 0 X X X 0 X 0 X 0 X X X X 0 0 0 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 0 X X X X X X 0 0 0 X X 0 X X 0 0 X X 0 X X X 0 X X 0 X 0 X 0 0 X 0 X X 0 X 0 X 0 0 0 X X 0 0 0 0 X X 0 X 0 0 generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+88x^72+4x^73+70x^74+36x^75+252x^76+90x^77+271x^78+182x^79+454x^80+394x^81+477x^82+584x^83+650x^84+740x^85+657x^86+974x^87+815x^88+1086x^89+785x^90+1080x^91+736x^92+972x^93+810x^94+786x^95+600x^96+598x^97+497x^98+344x^99+300x^100+180x^101+310x^102+106x^103+141x^104+30x^105+132x^106+4x^107+44x^108+2x^109+63x^110+13x^112+22x^114+2x^116+1x^118+1x^138 The gray image is a linear code over GF(2) with n=180, k=14 and d=72. This code was found by Heurico 1.16 in 69.8 seconds.