The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 X^2 X 1 1 0 X 1 1 X 1 X^2 1 1 1 1 1 X 1 0 1 X X X^2 X 1 0 1 1 0 0 0 X^2 1 X 1 X X 1 X^2 1 0 X 0 0 0 0 0 0 X^2 X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2 0 X^2+X X^2 X^2 X^2+X X 0 X^2+X X^2 0 X^2+X X^2 X^2+X X X X^2+X X^2 X^2 X X^2+X X^2+X 0 0 X 0 X X X 0 X^2+X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2+X X^2 X 0 0 X^2 0 X X^2 X X 0 X^2 X^2 X^2+X X 0 X 0 X^2 0 X X^2 0 0 X X^2 0 0 X 0 0 0 X X^2+X X^2+X X X X^2 X^2+X X 0 X^2 0 X^2+X 0 X^2+X X^2 X^2+X X X^2+X X^2 X^2 X^2+X X^2 0 X X^2+X 0 X^2+X X X X X^2+X 0 X^2 X^2 X X^2 0 X^2 X^2 X^2+X X^2+X X X X 0 0 0 0 0 X^2+X X X^2+X 0 X 0 0 0 X^2 X X X X^2 X X X^2+X 0 X X^2 0 X^2 0 X^2+X X^2 0 0 0 0 X 0 X X X 0 X^2 0 X X^2+X X X X^2+X X^2 0 X^2 0 X 0 X^2+X X X^2 X^2+X X 0 X^2 X^2+X X^2 X X^2 X^2+X X X^2+X X^2 X 0 X X 0 0 X^2 X^2+X X^2+X X 0 0 0 X^2 X^2+X X X X^2+X X 0 X^2 0 X 0 X^2+X 0 X X^2 X^2 X^2 X^2+X 0 X^2 X^2+X X^2 X^2+X X X^2 X X^2 0 X^2 X 0 0 0 0 X X X^2 X^2+X X X^2 X 0 X X^2 X^2+X X^2 0 0 X^2+X X X X^2+X X X^2 X^2 0 X X^2+X X^2+X 0 0 X 0 X^2 X^2 X^2 X^2 X^2+X X^2+X X X^2+X X X X^2+X X^2+X X X X^2+X X X X X X^2+X X X^2+X X^2+X X^2 X X X 0 X^2+X X^2+X X^2+X X^2 0 X 0 X^2+X 0 X^2+X X 0 X 0 X^2+X X X^2+X 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 0 generates a code of length 80 over Z2[X]/(X^3) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+68x^71+115x^72+158x^73+213x^74+208x^75+269x^76+308x^77+279x^78+348x^79+381x^80+304x^81+255x^82+252x^83+228x^84+184x^85+146x^86+94x^87+88x^88+46x^89+29x^90+42x^91+28x^92+20x^93+3x^94+10x^95+7x^96+4x^97+3x^98+2x^99+2x^100+1x^116 The gray image is a linear code over GF(2) with n=320, k=12 and d=142. This code was found by Heurico 1.16 in 1.83 seconds.