The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 1 1 1 X X X 1 1 0 X 1 0 1 X X 1 1 X 0 1 X 0 1 1 1 1 1 0 1 1 1 1 0 1 X 1 1 1 1 0 1 1 1 0 1 0 1 X 1 1 1 1 1 1 0 0 1 0 X X 1 X X 1 0 0 X 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 X+1 1 1 1 1 X+1 X+1 1 1 1 1 X+1 1 X 1 X+1 1 1 X+1 X X 0 0 1 1 1 1 X+1 1 X X X X 0 X+1 0 0 1 1 0 X+1 X+1 0 1 1 X 0 X+1 X+1 0 1 1 X 1 1 1 0 1 X 0 1 1 X+1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X 0 0 X X X X 1 X+1 X+1 1 1 1 1 1 X+1 1 X+1 1 X+1 X+1 1 1 X+1 0 1 1 X X 1 1 1 0 1 X+1 X 1 1 X 1 1 0 0 X+1 0 X X+1 1 0 1 1 X 1 1 X+1 0 X X+1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 X+1 X+1 1 X+1 0 0 X+1 X 0 X+1 0 1 0 X+1 X+1 X 1 0 X X 0 X X X+1 X+1 X+1 0 X+1 0 0 X X 0 1 1 1 X 1 0 0 1 X+1 X+1 0 X X X X X+1 0 0 1 X+1 X+1 1 0 X X+1 X X X+1 X X+1 X X+1 1 0 X+1 0 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 1 X X 0 1 0 X+1 1 1 1 1 0 0 0 0 0 X+1 0 1 X X+1 X 0 1 1 0 0 X X+1 1 X+1 X+1 1 0 X X+1 X+1 X X+1 X 1 1 X X+1 X X X X 1 X X+1 0 X X X+1 X+1 0 X 0 X+1 0 0 X X 1 X X+1 0 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 X+1 X 1 0 1 X X 0 X+1 X+1 X+1 0 X+1 X+1 X+1 0 X 0 X 0 1 0 X X+1 1 X X X+1 X+1 X+1 0 1 X+1 X 1 X+1 0 1 1 1 1 X+1 X X+1 X X 1 1 X 0 X X+1 1 1 X X 1 X X X X+1 0 0 1 X 0 1 X 0 0 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X 0 1 X+1 X+1 X+1 X+1 X X X 1 X+1 X 0 X X+1 1 0 1 X X X X 0 X X 1 X+1 X 0 1 X+1 0 X+1 X+1 X+1 X+1 X+1 0 X+1 X+1 1 X+1 0 X+1 1 0 X X X+1 X 0 1 0 0 X X X 1 X+1 X X+1 0 0 1 0 X 1 X 0 0 generates a code of length 87 over Z2[X]/(X^2) who�s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+38x^71+42x^72+94x^73+168x^74+292x^75+387x^76+386x^77+496x^78+558x^79+655x^80+700x^81+675x^82+754x^83+817x^84+846x^85+901x^86+860x^87+830x^88+866x^89+826x^90+816x^91+758x^92+682x^93+622x^94+474x^95+409x^96+416x^97+296x^98+184x^99+156x^100+142x^101+88x^102+52x^103+35x^104+28x^105+23x^106+2x^107+6x^108+2x^111+1x^126 The gray image is a linear code over GF(2) with n=174, k=14 and d=71. This code was found by Heurico 1.16 in 99.9 seconds.