The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 X^2+X 1 X^2 1 X 1 X 1 X^2 X^2+X 1 1 0 1 1 1 X 1 X^2+X 1 0 1 1 1 1 1 X^2+X X X^2 0 1 X^2+X 0 X^2+X X^2+X 1 1 X^2 1 1 X^2 1 1 X^2+X 1 1 0 0 1 X^2 1 0 0 1 1 1 1 1 1 X 1 X 1 0 1 1 X^2 1 X X^2+X 1 X^2+X X^2+X X X^2+X 1 0 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2+X X^2+1 X^2 1 X^2+X+1 X^2+X X^2+X+1 1 X 1 X^2+X X^2 1 X+1 1 1 X^2+1 X^2 X^2 0 X^2+X+1 1 0 1 X+1 X X^2 X X+1 1 1 X 1 X^2+X+1 0 1 X^2+X 0 X^2+1 1 1 0 X^2+1 1 X 0 1 X+1 1 1 X 0 0 X^2+X+1 1 1 X X+1 X+1 X^2+1 X^2 X^2 1 X 1 X+1 1 X^2+X X^2+X+1 1 X^2 X^2+X X^2+X X^2+X X 1 1 X^2+X X^2+1 1 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X X^2+1 X^2+X 1 1 X^2+X X^2+X+1 X 0 X+1 1 X+1 X 1 0 X^2+X X^2+X+1 X 1 X+1 0 X^2+1 X+1 X^2 X^2+1 X+1 0 1 X^2+X X^2+1 1 X^2+X 0 1 X^2+1 1 1 X^2+1 X^2 X X^2+X X^2+X X^2+1 X^2+X 0 X^2+X+1 X+1 X+1 X 1 1 1 X^2 X^2 X^2+1 X+1 1 X^2+X X^2+X+1 X^2+X X^2 1 0 X X+1 X^2 X+1 X^2 X^2+X+1 X^2+X 1 1 X^2 1 X^2+X X^2+X 1 X X^2+X+1 0 0 0 X^2 0 0 0 0 0 0 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 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+260x^87+157x^88+372x^89+92x^90+284x^91+85x^92+210x^93+65x^94+114x^95+47x^96+144x^97+21x^98+36x^99+15x^100+70x^101+12x^102+26x^103+13x^104+20x^105+1x^106+2x^108+1x^110 The gray image is a linear code over GF(2) with n=368, k=11 and d=174. This code was found by Heurico 1.16 in 3 seconds.