The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X 1 X^2+X 1 X^2+X 1 X^2 1 1 0 1 X^2 1 0 X^2+X 1 1 X^2 X 1 1 1 1 X^2 1 1 X^2+X X 1 1 1 X^2 X^2+X 1 X^2+X 0 1 1 X^2 1 X 0 X^2 1 X 1 1 0 1 0 1 1 1 1 0 1 X^2+X 1 1 X 1 X^2+X 1 1 1 0 X X^2+X 0 1 0 0 1 X^2+X+1 1 X^2 0 X^2 X^2+X+1 1 X+1 1 0 1 X^2 1 X+1 X^2+1 X^2+X X^2+X 1 X^2+X+1 X 1 X^2+1 X 1 X^2+X X^2 X X+1 1 1 X^2+X 0 1 1 X^2+X X^2+X 0 1 X^2 X+1 1 1 X^2+1 X^2+1 X X^2+X 0 1 1 0 X^2+X X^2+1 X^2+X+1 1 X^2 1 0 0 X^2+X+1 1 1 X+1 X X X+1 1 X^2+1 1 1 X^2+X+1 X^2+1 0 1 1 0 0 1 1 X+1 0 1 X+1 1 X X+1 X X X+1 X+1 X^2+1 X X X^2+X+1 X^2+X 1 X^2+1 X^2+1 X 1 X^2+X 1 0 X+1 1 X X^2+1 X^2 X^2+X+1 X^2+X X^2+X X+1 1 0 X^2+X+1 X^2+X 1 X 1 0 X^2+1 X^2+X X X 1 0 1 X^2 0 X^2+X 1 1 1 X^2+X+1 X^2+X+1 X+1 X^2+X+1 X^2+1 1 1 1 X^2+X 1 0 X+1 X^2+X X^2+1 X X+1 1 X^2+X+1 1 X^2+X+1 X^2+X+1 0 0 0 X X X^2+X X^2 X^2+X 0 0 X X^2 X 0 X^2 X^2+X X X^2+X X^2 0 X^2+X X^2 X X^2 X X 0 X X^2 X^2+X X X X^2 X^2 X X^2 X^2 X^2+X X^2 X X X^2 X^2 0 X 0 X 0 X^2+X X^2+X 0 X^2+X X^2 X^2+X X^2+X X X X^2+X X^2+X X X^2 X X^2+X X 0 X^2+X X^2+X X^2 X^2+X X^2 X^2+X X 0 0 X^2 X^2+X X^2 X^2 X 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 generates a code of length 79 over Z2[X]/(X^3) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+98x^71+289x^72+458x^73+512x^74+620x^75+618x^76+654x^77+686x^78+636x^79+720x^80+608x^81+550x^82+450x^83+376x^84+318x^85+190x^86+148x^87+87x^88+60x^89+36x^90+26x^91+18x^92+12x^93+8x^94+6x^95+3x^96+2x^97+2x^98 The gray image is a linear code over GF(2) with n=316, k=13 and d=142. This code was found by Heurico 1.16 in 4.04 seconds.