The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+224x^58+475x^60+734x^62+875x^64+902x^66+972x^68+870x^70+984x^72+764x^74+618x^76+430x^78+202x^80+102x^82+30x^84+6x^86+2x^88+1x^92

The gray image is a linear code over GF(2) with n=138, k=13 and d=58.
This code was found by Heurico 1.16 in 11.1 seconds.