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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X X^2 1 X 0 0 0 0 X 0 X 0 0 X X 0 0 X^2+X X^2+X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 X^2 X X 0 X^2 X X^2+X X^2 X^2+X 0 X^2+X X^2 X^2 X X X X^2+X X^2 0 X^2 X^2+X 0 X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2 X^2+X 0 X X 0 0 X X^2 X^2 X^2+X 0 X^2 X X X^2+X 0 X^2 X^2+X 0 X X X^2 X^2 X X X 0 X^2+X X^2+X X X^2 0 X X X^2 0 0 X X 0 X^2+X X 0 X^2+X 0 X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 0 X X^2 X X^2 X X^2+X 0 X^2+X X^2 X^2 X^2+X 0 X X^2+X X^2 X X^2 0 X X X X^2 X^2 0 X X^2 X^2+X 0 0 X X^2+X X^2 X^2+X X^2 X X X 0 X^2 X X^2 X^2+X 0 0 0 X X^2 X^2+X 0 X^2 X X^2 X^2 0 X^2 X^2 X 0 X^2+X X^2+X X^2+X X^2 0 X 0 0 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+160x^80+24x^81+128x^83+142x^84+208x^85+128x^87+130x^88+24x^89+73x^92+5x^96+1x^156 The gray image is a linear code over GF(2) with n=340, k=10 and d=160. This code was found by Heurico 1.16 in 0.998 seconds.