The generator matrix

1 0 0 0 0 1 1 1 1 0 X 1 0 1 1 X 1 X X 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 X 0 X 0 X 0 X 1 X 0 X 1 0 0 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 1 X 1
0 1 0 0 0 0 0 0 X 0 0 X X 1 X+1 1 1 1 1 X+1 1 1 X+1 0 1 0 X+1 1 1 X X+1 X+1 0 1 1 1 0 X 1 1 1 X X 0 0 X+1 X 1 X 0 0 1 X X 0 X+1 X+1 1 X+1 X 1 X X X X 1 0
0 0 1 0 0 0 0 1 1 1 X X+1 1 1 X 0 X+1 X 0 0 X+1 1 X+1 X X+1 1 X 1 X 1 0 1 1 1 0 0 1 X 1 1 0 X+1 X 0 1 1 1 X 1 X X X+1 X 0 X 0 X+1 X+1 X+1 X+1 0 0 X+1 0 X 0 0
0 0 0 1 0 1 0 X 1 1 1 0 X+1 X+1 X+1 X+1 1 X 1 X X 0 0 1 X+1 X 0 X+1 X+1 X+1 X 1 0 0 X+1 X+1 1 1 X 1 X 0 1 1 X+1 0 X X+1 X 1 X+1 1 X 1 X+1 0 1 X X+1 0 X+1 0 X+1 0 0 1 0
0 0 0 0 1 1 X+1 X+1 1 X 1 0 1 1 X+1 1 X X+1 X X 1 0 X+1 X 0 1 1 X+1 X 0 0 X X X+1 X+1 0 0 X+1 X 0 0 X+1 X X+1 X+1 0 X+1 0 1 X+1 1 1 1 X+1 X+1 X 1 0 X+1 X 0 1 X 1 1 X+1 0
0 0 0 0 0 X X X X 0 0 X 0 X X 0 X 0 0 X 0 X X X 0 0 X X 0 0 0 0 X 0 X X X X X X X 0 X X X 0 X X X 0 X 0 0 0 X X 0 X X 0 0 0 X X 0 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+39x^58+92x^59+99x^60+148x^61+163x^62+130x^63+138x^64+152x^65+132x^66+92x^67+100x^68+106x^69+80x^70+86x^71+86x^72+58x^73+69x^74+78x^75+63x^76+42x^77+29x^78+32x^79+23x^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 1.10 in 0.204 seconds.