The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 0 0 X 1 1 X X 1 1 1 1 0 1 X 1 0 X X 1 1 1 1 0 0 1 0 1 1 X 1 X 1 1 1 1 1 0 0 X 1 X 1 1 1 X 1 0 0 1 X 1 0 X 1 1 1 X X X 1 1 0 1 X 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 0 1 1 0 X 1 X X+1 X 0 1 1 X+1 1 1 1 0 1 X+1 X+1 1 0 X X X 1 X+1 X X 0 1 X+1 X 0 0 1 1 1 1 X+1 1 0 1 1 0 X X 1 0 1 0 1 0 0 X X 0 1 1 X+1 1 1 1 1 0 X+1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X X+1 1 0 1 X 1 1 1 0 X X+1 X 0 X+1 X+1 0 X+1 1 0 X X+1 1 0 1 1 X X 1 1 1 1 1 1 X 1 1 1 X 1 X X+1 X+1 X 0 X 1 X+1 1 1 X 0 X 0 1 1 1 1 1 X 0 X 0 0 X+1 1 X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 0 X 0 X 0 X 0 0 X 0 X X X 0 0 0 0 X 0 0 X X 0 X X 0 0 X 0 0 X 0 0 0 X 0 X X X 0 X X X X 0 X 0 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 X 0 X X 0 X X 0 X X X 0 X 0 X X X 0 0 0 X X X X 0 X X X 0 X 0 0 X 0 X X X X X 0 X 0 X X 0 0 X X X 0 X 0 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 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X X 0 X X X X 0 X X 0 X 0 0 0 0 X X 0 0 X X 0 X 0 X X X X 0 0 X X 0 X X X 0 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X X 0 X X 0 X 0 0 0 X X X X 0 0 X 0 0 X X X 0 0 0 X X X X 0 X 0 0 X X 0 0 X 0 0 X 0 X X X 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 0 X X 0 0 0 X X 0 X X X X X 0 0 X X 0 0 X X X 0 X 0 X 0 X 0 0 0 X 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X 0 X X 0 0 0 0 X X X X 0 X 0 0 0 X 0 X X 0 0 X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 X 0 X 0 0 0 X X X X 0 0 X X X 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 X X X X 0 X X 0 0 X 0 0 X X 0 0 X 0 X X X X X 0 0 0 X X X 0 X 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 0 X X X X X X X 0 0 X X 0 X 0 0 X X X 0 X 0 0 X 0 0 X 0 X X 0 0 X X 0 0 X X 0 X X X X X X X 0 0 0 X 0 X 0 generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+24x^73+107x^74+86x^75+216x^76+178x^77+353x^78+298x^79+485x^80+550x^81+566x^82+650x^83+721x^84+848x^85+829x^86+938x^87+863x^88+1016x^89+828x^90+934x^91+843x^92+834x^93+763x^94+798x^95+568x^96+470x^97+406x^98+302x^99+259x^100+156x^101+151x^102+78x^103+89x^104+20x^105+73x^106+12x^107+37x^108+16x^110+10x^112+4x^114+4x^116 The gray image is a linear code over GF(2) with n=178, k=14 and d=73. This code was found by Heurico 1.16 in 88 seconds.