The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X X^2 1 1 1 1 X 1 1 0 1 1 X^2+X 0 1 1 1 1 X^2+X 1 1 0 1 1 X^2+X X^2 1 1 1 1 X 1 X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 X^2 1 1 X^2+X X 1 X 1 1 X 1 X 1 0 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X 1 X^2+1 X+1 0 1 X^2+X X^2+1 1 1 X^2 X^2+X+1 X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 X^2 X^2+X+1 X 1 1 0 0 X^2+X X^2 X^2 X^2+X X 0 X X X^2 0 X^2 X^2 X X^2+X X^2 X 0 X^2+X X+1 X^2+X+1 1 1 X^2+1 1 1 1 X^2 0 X^2 X^2+X 0 X^2+X X^2+X X^2 X 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 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+110x^80+56x^81+158x^82+80x^83+133x^84+36x^85+102x^86+36x^87+155x^88+16x^89+90x^90+8x^91+13x^92+20x^93+2x^94+4x^95+1x^96+2x^116+1x^128 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 0.4 seconds.