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 X^3 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X^3 1 X^3 1 0 X 0 X^2+X X^2 X^3+X^2+X X^3+X^2 X X^2 X^2+X X^3 X^3+X 0 X^2+X X^2 X 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X X^2 X X^3 X^3+X^2+X 0 X^2+X 0 X^2+X X^2 X X^3+X^2 X^3+X 0 X^2+X 0 X^2+X X^2 X X X^2 X^3+X^2 X^3+X X^3+X X^3+X^2 X^3+X^2 X^3+X X^2 X 0 X^3 X^2+X X^3+X^2+X X^3 X^3+X^2+X 0 X^2+X 0 X^3 X^3 X^3 0 X^2+X X^3+X^2+X X^3+X^2+X X^2+X X^3 X^3 X^2+X X X^3 X^2 0 X^2 X X^2 X X^3+X^2 0 0 X^3+X^2 0 X^2 X^2 0 X^2 X^3+X^2 0 X^2 0 0 X^3+X^2 0 X^3+X^2 X^3 X^3 X^3 X^3 X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3 0 0 0 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^3 0 X^3+X^2 X^3 X^2 0 X^2 X^3+X^2 X^3 0 X^3 X^2 X^3 X^2 X^3 X^3 X^2 X^2 X^3 X^3 0 X^2 X^2 X^3 X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 X^3+X^2 0 X^2 X^3 X^3+X^2 0 X^2 0 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 0 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 0 0 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 X^3 X^3 0 0 X^3 generates a code of length 85 over Z2[X]/(X^4) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+29x^80+92x^81+63x^82+212x^83+732x^84+104x^85+444x^86+84x^87+98x^88+80x^89+36x^90+56x^91+4x^92+12x^93+1x^162 The gray image is a linear code over GF(2) with n=680, k=11 and d=320. This code was found by Heurico 1.16 in 1.03 seconds.