The generator matrix 1 0 0 0 1 1 1 1 X^2+X 1 1 1 X^2+X X X^2 X^2+X X 1 X^2 1 X 1 1 1 0 1 X^2+X 1 1 X^2 X^2+X 0 X^2 1 X^2 0 1 X^2 1 1 1 1 1 1 X^2+X 1 0 X^2+X 1 X^2 1 X 1 X X^2 X^2 X^2 X X X 0 1 1 1 1 X^2 X^2 0 1 X^2 X 1 1 X 1 1 X^2 X^2 X X^2+X 1 1 0 X 1 X X^2 X^2 0 1 1 0 1 0 0 0 X^2 1 X^2+1 1 X^2 X^2+X+1 X+1 1 1 0 1 X^2 1 1 X^2 X X^2 1 X+1 X^2+X 0 1 X+1 X^2+X 1 X^2 X^2+X 1 X^2 1 1 X 1 X^2+X+1 1 X+1 X X^2 X+1 0 X+1 X 1 X+1 0 X^2+X+1 1 X^2+1 1 1 X 1 X^2 X 1 1 X^2+1 X+1 X^2+X X^2+X 1 1 X 1 X^2 0 X+1 X+1 X X X^2 X^2 0 X^2 X^2+X X^2+X X X X X 0 1 1 1 X^2+1 X^2 0 0 1 0 0 X^2+1 X^2 1 1 X+1 X^2+X+1 X^2 X+1 X 1 1 1 0 X^2+X+1 X 1 1 X^2 X^2+1 0 X+1 1 X^2+X+1 X^2 0 1 1 X 0 X^2+X+1 X^2+X X^2+X+1 X^2+X X^2 X X+1 0 X^2+X 1 X X 1 0 1 0 X+1 X^2+X 1 X+1 X+1 1 X^2+1 1 1 X^2 1 X^2+X X+1 X^2+X+1 1 X^2+X+1 X^2+1 X X^2+1 1 1 0 X^2+X 1 X X^2 1 X^2 X^2+X 1 1 0 1 1 X^2 X 1 X^2 X+1 X^2+1 1 0 0 0 1 1 1 X^2+1 X 1 0 X+1 0 X 1 X+1 X^2+X X^2+X+1 X^2 X+1 X^2 0 X+1 X+1 X^2+1 1 X^2 X^2+X 0 1 X^2 0 1 X+1 X X^2+X+1 X^2 X^2 1 X X+1 X+1 X^2+1 X X^2 1 X^2+1 X^2 X^2 X^2+X 1 1 1 X+1 X 0 X+1 X^2+X+1 X^2 X^2+X+1 X^2 1 X^2+1 X^2+1 X X+1 X X 1 1 1 X+1 1 1 X+1 X^2+X+1 X+1 X^2 1 1 X X+1 1 X^2+X 0 0 1 X 1 X+1 0 X^2+X 0 0 0 0 X 0 0 0 0 X X X X X X X X X^2+X X^2 X^2 0 X^2+X X X^2 X^2+X 0 X^2 X^2 X^2 X X 0 0 X X X^2 X X 0 X X^2 X^2+X X^2+X X X 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 X^2 X X^2 X X^2 0 X^2+X X^2+X 0 X X^2+X 0 X 0 X X^2 X^2+X X^2+X X^2 X^2+X X X^2 X^2+X 0 0 0 X^2 0 0 X^2+X 0 X^2+X 0 X^2 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+203x^82+398x^83+699x^84+796x^85+972x^86+1154x^87+1300x^88+1174x^89+1357x^90+1012x^91+1279x^92+1066x^93+1069x^94+820x^95+880x^96+630x^97+478x^98+406x^99+284x^100+146x^101+133x^102+42x^103+35x^104+28x^105+10x^106+8x^107+2x^108+2x^110 The gray image is a linear code over GF(2) with n=364, k=14 and d=164. This code was found by Heurico 1.13 in 5.78 seconds.