The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X 0 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 X 1 1 1 1 0 X 1 1 1 X^2+X X X^2+X 1 1 1 X^2 X 1 0 1 1 1 1 X^2+X X 1 1 1 1 1 1 1 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X X+1 X^2+1 0 X^2+X X^2 X X^2+X+1 1 1 X^2+X+1 X+1 X^2+1 0 X^2+X+1 1 X^2+X+1 X^2+X X^2+1 X^2+1 X^2 X^2+1 1 0 X^2+X+1 X 0 1 1 1 X X 0 1 1 X^2+X X X^2+X+1 0 X^2 X^2+X 1 1 X^2 X^2+X+1 X^2+X+1 X+1 X^2+X+1 1 X^2+X 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X X X^2+X X X^2+X 0 0 X X^2 X^2 X^2 X^2+X X^2 X^2+X 0 X^2+X 0 X X^2+X X X X^2+X X X^2+X 0 0 X^2 0 X^2 X^2 X^2+X X^2+X 0 X^2+X X^2 0 X^2 X^2+X X^2 0 X^2 X X^2+X X^2+X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+96x^79+207x^80+182x^81+174x^82+196x^83+189x^84+194x^85+152x^86+132x^87+127x^88+88x^89+81x^90+62x^91+32x^92+38x^93+36x^94+24x^95+12x^96+6x^97+3x^98+2x^99+7x^100+4x^101+1x^104+1x^106+1x^114 The gray image is a linear code over GF(2) with n=340, k=11 and d=158. This code was found by Heurico 1.16 in 0.738 seconds.