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 X 0 X 0 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 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 X^2 1 1 1 1 X 1 0 X 0 X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 0 X X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X X^2 X^2 X^2 X^2 X^2 X X^2 X X^2 X^2+X X^2 X^2+X X^2 X X^2 X^2+X X^2 X^2 X^2+X X X^2 X^2 X X^2+X X^2 X^2 X^2+X X X^2 X^2 X X X^2 X^2 X^2+X X^2+X 0 0 X X 0 0 X^2+X X^2+X 0 X^2+X 0 X 0 X^2+X 0 X X 0 X 0 X^2 X X X^2+X X^2+X X^2 X X 0 0 X X 0 X^2+X X^2+X 0 0 X^2+X X 0 0 X X^2+X 0 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X X X X X^2 X X X^2 X^2 X^2+X X^2+X X^2 X^2 X X X^2 X^2 X^2+X X^2+X X^2 0 X X^2+X 0 0 X^2+X X 0 0 X X^2+X 0 0 X^2+X X 0 0 X^2+X X X^2 0 X^2+X X^2+X 0 X^2 X^2 X^2+X X 0 X X X^2 X X^2 X^2 X^2 X^2 X^2+X X^2 X^2 0 0 0 X^2+X 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 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 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 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 X^2 X^2 0 0 0 X^2 generates a code of length 96 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+25x^92+86x^93+32x^94+128x^95+20x^96+96x^97+27x^98+52x^99+15x^100+10x^101+2x^102+12x^103+3x^106+2x^108+1x^176 The gray image is a linear code over GF(2) with n=384, k=9 and d=184. This code was found by Heurico 1.16 in 0.721 seconds.