The generator matrix 1 0 0 1 1 1 X 1 1 0 0 X 1 1 1 0 1 1 1 X 0 1 1 1 0 1 X 0 0 1 0 1 1 0 X X 1 1 X 1 0 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 1 1 0 0 1 X 1 0 0 1 0 0 1 1 1 0 X X 1 1 1 X+1 0 1 X+1 X X+1 1 0 0 0 X+1 1 1 1 X 0 X 0 1 X+1 1 1 X 0 1 1 0 1 X X+1 X 0 0 X+1 1 X X 1 X X 0 1 0 1 X+1 1 1 X X X 1 0 0 1 1 1 0 1 X X+1 1 0 1 X+1 X 0 X X X+1 1 1 1 0 X+1 1 0 X X+1 1 1 X 1 1 X X 1 1 X+1 X X X+1 0 0 0 0 X X+1 0 0 1 1 X+1 1 X+1 1 X+1 1 X+1 X+1 1 1 1 0 1 X 0 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 0 0 X 0 X X X X X X 0 X 0 X 0 X X X X 0 0 0 0 0 0 X 0 X X X 0 X X X X X 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X X 0 0 X 0 X 0 X 0 0 0 X 0 X 0 X 0 X X X 0 X X X 0 0 X X 0 0 X 0 X 0 X X 0 0 X 0 0 0 X 0 X X X X 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 0 0 X 0 0 X 0 X X X X X 0 X X 0 0 X 0 0 X X 0 X X X X X 0 X X X X 0 0 0 X 0 0 X X 0 X 0 0 X X X generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+72x^59+70x^60+44x^61+78x^62+48x^63+23x^64+24x^66+42x^67+24x^68+16x^69+16x^70+16x^71+12x^75+10x^76+4x^77+10x^78+2x^83 The gray image is a linear code over GF(2) with n=128, k=9 and d=59. This code was found by Heurico 1.16 in 58.7 seconds.