The generator matrix 1 0 1 1 1 X^2 1 1 0 0 1 1 1 0 1 X^2 1 1 0 1 1 1 0 1 1 X 1 X 1 X 1 1 X 1 0 1 1 1 1 1 X^2+X X 1 1 X 1 1 X^2+X 1 X X^2+X 1 1 1 1 X^2 1 1 X^2 X^2+X X^2 1 1 1 1 1 X^2+X 1 0 X^2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X^2 1 1 1 1 0 1 1 0 1 1 X^2 X+1 1 1 0 X^2+X+1 X^2+1 1 0 1 X^2 1 1 1 0 X^2+1 1 X X+1 1 X 1 X^2+X+1 1 X X+1 1 0 1 X+1 X^2+X X+1 X^2+X+1 X^2+X 1 1 X+1 X^2+1 1 X X^2+1 1 X^2 1 1 X^2+X 1 1 X^2 1 X X^2+1 1 1 1 X^2+X X^2+1 1 X X^2 1 X^2+1 1 1 X^2+X+1 0 X^2+1 X+1 X X+1 1 0 X^2+1 X X^2+1 X^2 X^2+X X 0 1 X^2+X X^2 1 X^2+1 0 X^2+X+1 X^2 0 0 X 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X X^2+X X^2+X X X^2+X X^2+X 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 0 X^2 0 0 X^2+X X^2 0 X^2+X X^2+X X^2 X^2 X X^2+X X^2+X X 0 0 X^2+X X X^2 X X^2+X 0 X^2 0 X^2 X^2 X X^2+X X^2 X X X^2+X 0 X X^2+X X^2+X X^2+X X^2+X X^2+X X^2 0 X X^2 0 X X X^2 X^2 X X 0 0 0 X^2+X 0 X^2+X X^2 X^2 0 0 0 X^2 X^2+X 0 0 0 X 0 0 X^2 X^2 X X X^2+X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2 X X 0 0 0 X^2+X 0 0 X^2 X X^2 0 X^2 X^2+X X^2+X X 0 X^2 X X 0 X^2 X^2+X 0 X^2 0 X X^2+X X X^2 X^2+X 0 X X X^2 X X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X X^2 X^2+X X^2 X^2 0 X^2+X 0 X^2 0 X^2 X X^2 X 0 X^2+X X^2 X^2+X X^2+X 0 X^2+X X^2+X X X X^2+X X X^2+X X X^2+X X X^2+X 0 0 0 0 X X^2+X X^2+X X^2 X^2+X 0 X^2+X 0 X X^2 X^2+X X^2+X X 0 X X^2+X X^2 X X^2 X^2 X^2 X^2+X X^2+X X^2+X X X^2 X^2 X 0 X X X^2 X 0 X X X^2 0 0 X^2+X X^2+X 0 X^2+X X 0 X 0 X^2+X X^2 0 X^2+X 0 X^2+X X^2 X^2 X^2 X X^2 X X 0 X X^2 0 X 0 X^2+X X^2 X^2 X^2 X^2+X X X^2 0 X^2 0 X X X^2 X^2 X^2+X 0 X^2+X 0 0 0 0 X^2 X^2+X generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+62x^85+156x^86+232x^87+297x^88+302x^89+320x^90+324x^91+308x^92+286x^93+287x^94+290x^95+273x^96+270x^97+208x^98+194x^99+118x^100+46x^101+25x^102+8x^103+20x^104+20x^105+26x^106+6x^107+6x^108+2x^109+2x^111+4x^113+1x^120+1x^122+1x^130 The gray image is a linear code over GF(2) with n=372, k=12 and d=170. This code was found by Heurico 1.16 in 1.75 seconds.