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 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 1 1 X X 1 1 1 1 X 1 X 1 1 1 0 1 1 0 1 X 1 0 1 1 X 1 1 X 1 1 0 X 0 0 0 X X^2+X X X^2 X^2 X^2+X 0 X^2+X X^2 X^2+X X X^2 X^2 X^2+X X^2+X X^2 0 X 0 X 0 X^2+X 0 0 X^2+X X^2+X X^2+X 0 X^2 X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2 X X^2 X X X^2+X X^2+X 0 0 X 0 X^2 X^2+X X X^2 0 0 X^2+X X^2 0 X X X X^2+X X^2 X^2 X X^2+X 0 0 X^2 X^2+X X X X X 0 0 X X X^2+X 0 0 X X^2+X 0 0 X 0 X X X 0 X^2 0 X^2+X X^2+X X^2 X X X^2 0 X^2+X X X^2 X^2 0 X X^2+X 0 X 0 X^2+X 0 X X^2+X X^2 0 X X^2+X X^2+X X X^2+X X^2 0 X X^2 0 X^2+X X 0 0 X^2+X X^2 X^2 X 0 X X X^2+X X^2 X X 0 X^2 0 X^2+X 0 X^2 X^2 X X^2+X X 0 X^2 0 X^2 X^2 X^2 0 X X X X^2 X^2 X X X^2+X X^2+X 0 0 0 0 X X 0 X X^2+X 0 X X^2 X^2 X X^2+X X^2+X 0 X X^2 0 X X^2+X 0 X^2+X X X^2 X 0 X^2 X^2 0 X^2+X X 0 X^2 0 X X^2+X X^2+X X X X^2+X X^2+X 0 X^2+X X^2 X^2 X X X X^2 0 0 X^2 X X^2+X X^2+X 0 X^2+X X 0 0 X^2 X^2 X^2+X X^2 X^2 X X^2 X^2+X X X^2+X X^2 0 X^2 X^2 X^2+X 0 0 X 0 X^2 X^2+X X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+42x^77+62x^78+86x^79+119x^80+146x^81+153x^82+128x^83+194x^84+284x^85+210x^86+100x^87+153x^88+126x^89+54x^90+36x^91+26x^92+24x^93+22x^94+30x^95+11x^96+16x^97+9x^98+4x^99+4x^100+2x^101+2x^102+3x^104+1x^144 The gray image is a linear code over GF(2) with n=340, k=11 and d=154. This code was found by Heurico 1.16 in 0.837 seconds.