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 1 1 1 1 1 1 1 0 X 1 1 1 X^2 X 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X X^3+X^2 X^3 X^3+X^2+X X^2 X^3+X 0 X^2+X X^3+X X^3+X^2 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^3+X^2+X X^2 X 0 X^2+X X^3+X^2 X^3+X X^3+X^2+X 0 X X^2 X^2+X X^3 X^2 X^3+X X^3+X^2+X X^3 X^3+X^2 X 0 X^3 0 X^3 X^2+X X^2+X X^3+X^2+X X^3+X^2+X X^3+X^2 X^3+X^2 X^2 X^2 X^3+X X^3+X X X X^3 0 0 X^3 X^3 X^2+X X^2+X X^3+X^2+X X X^2+X 0 0 X^3+X^2 X^3+X^2 X^2+X 0 0 X^3 0 0 0 X^3 0 0 0 0 X^3 0 0 X^3 0 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 0 0 X^3 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 generates a code of length 79 over Z2[X]/(X^4) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+35x^74+96x^75+180x^76+336x^77+169x^78+416x^79+363x^80+192x^81+45x^82+64x^83+95x^84+48x^85+7x^86+1x^148 The gray image is a linear code over GF(2) with n=632, k=11 and d=296. This code was found by Heurico 1.16 in 26.2 seconds.