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^2 1 1 1 1 0 1 1 1 1 X^2 1 X^2 0 X^3+X^2 0 0 0 X^2 X^3+X^2 X^2 0 0 0 0 X^2 X^3+X^2 X^2 X^3+X^2 0 X^3 X^2 X^3+X^2 X^3 0 X^3+X^2 X^2 0 X^3 X^3 X^3+X^2 X^3+X^2 X^2 X^3 X^2 X^2 X^3 X^3 0 0 X^2 X^2 X^3+X^2 0 X^3 X^2 X^3 X^3 X^2 X^2 X^3+X^2 X^2 0 X^3 X^3+X^2 0 X^2 X^3 0 X^3+X^2 X^2 X^3 X^2 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3+X^2 X^3+X^2 X^2 X^3 0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^3 X^2 X^2 X^3+X^2 0 X^3+X^2 0 0 X^3+X^2 0 X^2 X^2 X^3+X^2 0 X^2 0 0 X^3+X^2 X^2 X^3+X^2 0 0 0 X^3+X^2 X^3+X^2 X^3 0 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 0 X^3 X^2 0 X^2 X^3 0 X^3+X^2 X^2 X^3 X^3+X^2 0 X^3+X^2 0 X^2 X^3+X^2 X^3 X^2 X^3 X^3 X^2 0 X^3 X^3+X^2 X^3+X^2 X^2 X^3 X^3+X^2 X^3 X^3 X^2 0 0 X^2 X^3+X^2 X^2 0 X^3 X^3 X^2 X^2 X^3 0 X^3+X^2 X^2 X^3+X^2 X^3 0 X^3 X^3+X^2 0 X^3 0 X^3 X^2 0 X^2 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 X^2 0 X^3+X^2 0 0 X^3+X^2 X^2 0 X^3 X^2 X^2 0 X^2 X^3 0 X^2 X^3 X^3+X^2 0 X^2 X^3 X^2 X^3+X^2 X^3 0 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3+X^2 X^3 X^2 X^2 0 0 X^3 X^3+X^2 X^3 X^2 0 0 X^3 0 X^3+X^2 X^3+X^2 X^3 0 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^2 X^2 0 X^2 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 0 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^2 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 0 X^3 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 0 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 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 X^3 generates a code of length 84 over Z2[X]/(X^4) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+270x^80+128x^81+128x^82+384x^83+256x^84+384x^85+128x^86+128x^87+224x^88+16x^96+1x^160 The gray image is a linear code over GF(2) with n=672, k=11 and d=320. This code was found by Heurico 1.16 in 114 seconds.