The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  1  1  0  X  1  1  1  0  X  X  0  1  1  X  0  1  1  1  1  1  1  1  1  X  1  1  0  X  X  0  0  1  1  1  0  1  1  1  1  X  X  1  X  1  0  X  0  1  X  0  1  1  1
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  0  1  X  0  1  1  X  1  1  0  1  1  X X+1  X  1 X+1 X+1  1  X  0  X  1  1  1  X  0 X+1 X+1  1  1 X+1  X  0  1  X X+1  X  X  0  1  1  1  0  1 X+1  1  0
 0  0  1  0  0  1 X+1  1 X+1  1  X  0  0  1  1  X  0 X+1  1  X  1  X X+1  0  X  1  1  X  1  X X+1 X+1  1 X+1  1  0  X  1  0  1  0  0  1 X+1  X  0 X+1  0  1  X X+1  1 X+1  1  X  1  1 X+1  X  1 X+1  X  1  X
 0  0  0  1  1  1  0  1  X X+1  1  1  0 X+1  0  0 X+1  X  0  1 X+1  X  0  0  1  1  1  X  X  1  1  0 X+1  X  0 X+1 X+1  0  X  0 X+1  1 X+1  X X+1  0  X  X  X  0 X+1  X  X  X  0 X+1  1 X+1 X+1  0  0  1  0 X+1
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  0  X  X  0  X  0  0  0  X  0  0  X  X  0  X  X  X  X  0  0  0  X  0  X  0  X  0  X  X  X  0  X  X  0  0  X  0
 0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  X  X  X  X  0  0  X  0  X  0  X  X  0  X  0  0  X  X  0  X  0  0  X  0  X  0  X  X  0  0  0  0  0  0  X  X  X  0  0  0  0  X  0  0  0  X

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+173x^58+165x^60+211x^62+109x^64+123x^66+60x^68+56x^70+30x^72+53x^74+15x^76+21x^78+4x^80+3x^82

The gray image is a linear code over GF(2) with n=128, k=10 and d=58.
This code was found by Heurico 1.16 in 29.7 seconds.