The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+38x^58+92x^59+92x^60+148x^61+145x^62+130x^63+156x^64+152x^65+139x^66+92x^67+99x^68+106x^69+93x^70+86x^71+87x^72+58x^73+67x^74+78x^75+59x^76+42x^77+30x^78+32x^79+16x^80+6x^81+2x^83+2x^84

The gray image is a linear code over GF(2) with n=134, k=11 and d=58.
This code was found by Heurico 1.16 in 0.582 seconds.