The generator matrix

1 0 0 0 1 1 1 0 1 1 X 1 X 1 0 0 1 1 1 X 0 X 1 1 1 0 X X 1 0 1 1 1 1 1 0 1 X X X 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 X 1 0 1 X 0 1 1
0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X X 1 0 1 1 X 0 X+1 1 X 1 X 0 1 1 0 1 X X+1 1 X+1 1 1 X X X+1 1 X 0 X+1 0 X 1 X+1 X+1 1 X+1 X+1 X 1 1 X+1 X 1 1 1 0 X+1
0 0 1 0 0 1 1 1 0 X+1 1 X X+1 X+1 0 X 1 X X X+1 1 1 X 1 X+1 1 X 1 X+1 X 0 0 X+1 X X+1 X+1 0 1 0 1 X X 1 1 1 X X 0 1 X 0 X+1 0 X 1 0 X X 0 X X 1 X+1 X
0 0 0 1 1 X X+1 1 X 1 1 1 X X 1 1 1 X+1 0 0 1 X+1 1 X X+1 X+1 X 0 X 1 0 X+1 1 0 X+1 0 X+1 1 X 0 1 0 0 X 1 0 X 0 X+1 X+1 1 X 0 X+1 0 X+1 X+1 X 1 0 X+1 X+1 X+1 X
0 0 0 0 X 0 X X 0 X X X 0 0 X X 0 0 X X 0 0 0 X X 0 X X X 0 X 0 0 0 X 0 0 0 X 0 0 0 X X X X X 0 0 X 0 X X 0 X X 0 0 X 0 X X 0 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+54x^59+92x^60+62x^61+32x^62+34x^63+56x^64+40x^65+17x^66+22x^67+23x^68+14x^69+5x^70+8x^71+9x^72+4x^73+3x^74+8x^75+9x^76+8x^77+7x^78+2x^79+2x^80

The gray image is a linear code over GF(2) with n=128, k=9 and d=59.
This code was found by Heurico 1.10 in 3.16 seconds.