The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 X 1 1 1 X^2+X 1 1 X^2 X^2+X 1 1 1 X^2+X 1 1 1 X^2+X 1 X^2 1 1 1 1 1 1 X 1 X 1 X 1 X^2+X 1 1 1 1 1 X 1 1 X^2 X X^2 X^2 1 0 1 1 1 X^2 1 0 X 0 1 X X X^2+X 0 X^2+X 1 1 1 0 1 0 X^2 1 0 1 1 1 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+1 X^2+X 1 0 1 X 1 X+1 X^2 1 1 X^2+X+1 X^2+X+1 X^2+X 1 1 X 1 1 0 1 X^2+1 X^2 1 X X+1 X^2+X+1 1 X^2+X+1 1 1 1 X^2+X 1 X^2+X+1 0 X^2+X 1 0 1 1 X^2+1 1 1 1 1 X^2+1 1 X+1 X+1 X+1 1 X^2+X+1 0 X^2+X X X^2+X+1 X^2 1 1 1 1 X^2+X+1 X 1 X^2 X^2+X+1 1 X X^2+X+1 1 X^2 X X^2+X 0 0 0 X 0 X^2+X X 0 X X^2+X X X 0 X^2+X X X^2 X X^2 X^2 X^2+X 0 0 X X^2 X 0 X^2 X^2+X 0 0 X^2+X X^2+X X^2+X X X^2 X^2+X X^2 X 0 X^2+X X^2 X^2 X^2+X 0 X 0 0 X^2 X^2+X X^2 X X^2+X X^2 X^2 X^2+X 0 0 X X^2 X^2+X 0 0 X^2+X X^2+X X X^2+X X^2 X X X^2+X X X 0 X 0 X^2 X^2 X X^2+X 0 X^2+X X X X X^2+X X^2 0 0 0 X 0 X X X X X^2 X^2+X X^2 0 X X X^2 0 0 X^2 X^2+X X^2+X 0 X X 0 X^2 X^2 X 0 X^2+X X X X^2 0 X X^2 X X 0 X X^2+X X X^2 0 0 X^2+X X X^2+X 0 X^2 0 X^2 X^2+X X 0 X X^2 X^2 X X^2+X X X^2+X X^2 X^2 X^2+X X^2+X 0 0 X^2 0 X^2+X X X X X X X^2+X X X^2+X X X^2+X X X^2 X^2+X X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 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+102x^79+197x^80+212x^81+177x^82+174x^83+207x^84+164x^85+142x^86+134x^87+108x^88+88x^89+106x^90+66x^91+45x^92+52x^93+15x^94+14x^95+12x^96+12x^97+3x^98+4x^99+5x^100+5x^102+2x^103+1x^116 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 0.736 seconds.