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 X^3 0 X X^3+X^2 X 0 0 X^3+X^2 X^3+X^2 X X^2 1 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X X^2+X 0 X^3+X X^3+X^2 X^3+X X^3 X^2 X^2+X X^3+X^2+X 0 X^3+X^2 X^3+X X^2+X 0 X^3+X^2 X^3+X 0 X^2+X X^3+X^2 X^3+X X^3+X^2+X 0 X X^3+X^2 X^3 X^2 X^2+X X^3+X^2+X X^3+X X^3 X X^2 X^2+X X^3+X X^3+X^2+X 0 0 X X^3 X^3+X^2 X^2 X^3+X^2 X^2+X X^2+X X^3+X^2+X X^3+X^2+X X^3+X^2 X^2 X^2 0 X^3 X^3 X^3+X X^3+X X X X^3 X X^2+X X X^3+X X X X X 0 X^3+X^2 0 0 0 X^3 0 0 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 0 0 X^3 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 X^3 X^3 0 0 X^3 0 0 0 0 X^3 0 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 0 0 0 X^3 0 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 0 0 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 0 0 0 0 X^3 X^3 0 generates a code of length 76 over Z2[X]/(X^4) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+36x^71+120x^72+312x^73+184x^74+320x^75+340x^76+144x^77+228x^78+36x^79+115x^80+152x^81+35x^82+24x^83+1x^130 The gray image is a linear code over GF(2) with n=608, k=11 and d=284. This code was found by Heurico 1.16 in 2.06 seconds.