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 X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 X^2 1 X 1 X X^2 0 X^3+X^2 0 X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^2 X^3+X^2 0 0 X^3 X^2 X^2 0 X^3 X^3+X^2 X^3+X^2 0 X^3 X^3+X^2 X^3+X^2 0 X^3 X^3+X^2 X^3+X^2 0 X^3 X^2 X^2 0 X^3+X^2 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^2 X^3+X^2 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3 X^2 0 X^3 0 0 X^3 X^2 X^3+X^2 0 X^3 X^3 X^3 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+X^2 X^2 X^2 X^3 X^3 0 X^2 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 0 X^3+X^2 0 X^2 0 0 X^2 0 X^3+X^2 X^3+X^2 X^3 X^3+X^2 0 0 X^2 X^2 X^3 0 X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 0 X^3 X^2 X^2 X^3 X^2 X^3 X^3+X^2 X^3+X^2 0 X^3 X^2 0 0 X^3 X^2 X^2 X^3 0 X^3+X^2 0 X^3+X^2 X^2 0 0 X^3 X^3 0 X^2 X^2 X^2 X^2 0 X^2 0 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^3 X^3 X^2 X^3 X^2 X^3 X^3+X^2 X^3+X^2 0 0 0 X^3 0 0 X^3 0 0 X^3 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 X^3 X^3 0 0 X^3 0 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 X^3 0 X^3 0 0 0 0 0 0 0 X^3 0 X^3 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 0 0 0 X^3 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 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 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 X^3 X^3 0 0 0 0 X^3 0 X^3 0 0 0 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 0 X^3 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+109x^74+202x^76+144x^77+375x^78+496x^79+351x^80+112x^81+142x^82+16x^83+36x^84+30x^86+8x^88+13x^90+9x^92+3x^94+1x^140 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 135 seconds.