The generator matrix 1 0 0 1 1 1 X^2+X X 1 1 1 X^2 X^2 1 0 1 1 1 X 0 1 1 1 X^2+X X 1 X^2+X 1 1 1 X^2+X 1 X^2 1 1 0 X 1 X^2 X^2+X 1 1 1 X 1 1 X^2 1 0 X X^2 1 1 1 1 1 X 1 1 X^2 1 1 1 X^2+X 1 1 1 X^2+X 1 1 0 1 X^2 1 1 0 1 1 X 1 X X^2+X 1 1 X^2+X 1 X^2+X 1 X^2 X X^2 1 0 1 0 0 1 X+1 1 X^2 X^2+X+1 X+1 X^2+X 1 1 X^2 0 0 X^2+1 0 1 1 X^2+X+1 X X^2+X+1 1 1 1 X 0 X^2+1 X 1 X^2 X^2+X 1 X^2+1 1 X X^2+X+1 1 1 X^2 1 X+1 1 0 X+1 X^2 X^2+X 1 1 X X^2+X+1 X X^2+X X^2+X X^2+X X^2 X^2+X X+1 1 X+1 X+1 X^2 X^2 X X+1 X^2 1 X^2 X^2+1 1 X X^2+X 1 X^2+1 1 0 X^2+X X^2 X^2+X+1 1 X 1 1 X X^2 1 X 1 1 X X 0 0 1 1 1 X^2 1 1 X+1 X^2+X X^2+1 X^2+1 X^2+X X 1 X^2 1 X^2+X+1 1 X^2 X 1 X+1 X^2 X^2+X+1 X^2 1 X^2+X 0 X^2 X X^2+X+1 1 X^2+X+1 X X^2+X+1 1 1 X^2+1 X^2+X X^2+1 X+1 X^2 X^2 X X^2 1 X^2+1 X X^2+1 1 X^2+X+1 X^2 1 X^2+X 0 1 X+1 0 X^2+X X X^2+1 X^2 1 X X^2+X X^2+1 X X^2 X 0 X^2+X 1 X+1 1 X^2+X+1 0 X^2+X+1 1 1 1 1 X^2+X+1 0 1 X X^2+X X^2+X+1 X^2+1 X X^2+X X^2 0 0 0 X X^2+X 0 X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2+X X^2 0 X^2 X^2+X X 0 X^2 X^2+X 0 X X^2 X^2+X 0 0 X^2 X X^2+X X^2+X X X X X^2 0 X^2+X X X^2 X^2 0 X^2 X^2+X 0 X^2 X 0 X^2 0 X^2+X X 0 X^2 X^2 X X^2+X 0 X^2 X X^2+X X^2 X X^2 X^2 X^2+X 0 X X^2 X^2+X X 0 X^2 X^2+X X 0 X^2+X X 0 X^2+X X^2+X X^2 X^2+X X 0 X^2+X 0 X X X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+104x^85+180x^86+368x^87+359x^88+462x^89+325x^90+376x^91+285x^92+328x^93+224x^94+222x^95+156x^96+180x^97+114x^98+104x^99+56x^100+90x^101+44x^102+30x^103+35x^104+18x^105+9x^106+20x^107+3x^108+2x^109+1x^112 The gray image is a linear code over GF(2) with n=368, k=12 and d=170. This code was found by Heurico 1.16 in 1.6 seconds.