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 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 1 0 1 1 1 X^2 1 1 1 1 X X^2 1 X 1 1 1 X 1 1 1 X 1 0 1 1 0 1 1 1 X X^2 X^2 1 X 0 X 0 0 0 X^2 0 X^2 0 X^2+X X X^2+X X^2+X X X^2+X X X^2 X^2+X 0 X 0 X X^2 X^2+X 0 X X^2 0 X^2 X X X 0 0 X 0 X^2 X^2+X X^2+X X X^2+X 0 X^2+X X X^2 X^2+X 0 X^2 X^2 X 0 X^2 X^2+X X^2 X^2+X X^2+X 0 X X X^2+X X 0 0 X X^2 0 X^2 X^2 X X^2+X X^2 X^2 X^2 X X X^2+X 0 X 0 X X X^2+X 0 0 X^2 X^2+X X^2 X 0 X^2 X^2+X X^2+X 0 0 X 0 0 X^2 X^2+X X X^2+X X X X X^2+X 0 0 0 X^2 X^2 X^2 X X^2+X X^2 X X 0 0 X^2+X X^2 X X 0 X^2+X X^2 X X^2 0 X^2+X 0 X 0 X X X^2 X^2+X X^2 X^2+X 0 0 X X X^2 0 0 X^2+X X X^2 X^2+X 0 X X^2 X^2+X 0 X 0 X^2+X X^2 X^2 X 0 X^2+X X^2+X X^2 X^2 X 0 0 X X^2 X^2 X X^2+X X^2+X 0 X X^2 X^2 0 X X^2 X X 0 0 0 0 X 0 X X^2+X X X^2 0 X^2+X X 0 X X X^2 0 0 X X X^2 X^2+X X^2+X 0 0 X^2+X X^2+X X^2+X 0 X^2+X 0 X^2 X^2 X^2 X X^2+X X^2+X 0 X^2+X X^2+X 0 X^2 X^2 X^2 X^2+X X X^2+X X^2 X^2+X 0 X X 0 X^2 X X 0 X X^2+X X^2 X^2+X X^2 X^2 X^2 0 X^2+X 0 X^2+X X^2 X^2 0 0 X^2+X X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 0 X^2 X^2 0 X^2+X X^2+X X^2+X X^2 X^2 0 0 0 0 0 0 X X X^2 X^2+X X X X^2+X 0 0 X^2 X^2+X X^2+X X^2+X 0 X^2 X^2+X X^2+X X^2+X 0 0 X^2 0 X X^2+X X^2 X^2 X X^2+X X^2 0 0 X X^2+X X X^2 X^2+X X^2+X X^2+X 0 X^2 0 X 0 X X^2 X^2+X X^2+X X 0 0 X^2 0 0 X^2+X X^2 X^2+X X X^2 X^2+X X^2 X^2 X^2 0 X^2+X X X^2 X^2+X X^2 X 0 X X^2 0 X X X X^2+X X X^2+X 0 X X^2+X X^2+X X^2+X X X^2+X X^2 0 generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+70x^84+4x^85+188x^86+24x^87+217x^88+72x^89+208x^90+164x^91+261x^92+148x^93+230x^94+64x^95+125x^96+32x^97+96x^98+4x^99+52x^100+32x^102+37x^104+10x^106+4x^108+2x^110+2x^114+1x^156 The gray image is a linear code over GF(2) with n=368, k=11 and d=168. This code was found by Heurico 1.16 in 0.866 seconds.