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 X 1 X 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 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 0 0 0 0 X^3 0 0 X^3 0 0 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 X^3 0 0 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 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 X^3 X^3 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 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 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 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 0 0 0 X^3 X^3 0 0 X^3 0 X^3 0 0 0 X^3 0 0 0 0 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+17x^74+28x^76+32x^77+20x^78+832x^79+21x^80+32x^81+22x^82+12x^84+4x^86+2x^88+1x^154 The gray image is a linear code over GF(2) with n=632, k=10 and d=296. This code was found by Heurico 1.16 in 0.36 seconds.