The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  1  1  1  1  1  X  1  1  X  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  X  X  X  0  X  0  0  X  0  X  X  0  0  0  0  0  X  0  X  0  0  X  0  X  X  X  X  0  0  X  X  0  X  X  0  X  0  0  X  0  0  0  X  0  X  0  X  0  X  X  0  X  X  0  X  0  0
 0  0  X  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  X  0  X  0  0  0  X  X  0  X  0  0  X  0  0  X  X  X  X  0  0  X  X  X  0  0  0  0  0
 0  0  0  X  0  0  0  0  X  0  0  X  0  X  0  0  0  0  0  0  X  X  X  X  X  0  X  0  X  X  X  X  0  X  0  X  X  0  X  0  X  X  0  X  0  X  0  0  0  X  X  X  X  X  0  0  X  0  X  X  X  X  0  X  0  0
 0  0  0  0  X  0  0  0  X  0  X  X  X  0  0  X  X  0  0  X  X  X  X  X  0  0  0  X  0  0  0  0  X  0  X  X  X  0  X  0  X  X  X  X  0  0  X  0  0  0  0  0  X  X  0  0  0  X  0  X  0  X  0  X  X  X
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  0  0  X  X  0  0  0  X  X  X  X  0  X  0  X  X  X  X  X  X  X  X  X  X  X  0  0  X  0  X  X  X  0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  0  X  X
 0  0  0  0  0  0  X  0  X  X  0  0  0  X  X  0  X  X  X  0  0  0  X  X  0  0  0  0  X  X  0  0  0  X  X  X  0  X  0  0  X  0  0  X  X  X  X  X  X  0  X  0  0  0  0  0  X  0  X  0  X  X  X  X  0  X
 0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  0  0  0  X  X  0  X  X  0  0  0  0  0  X  0  X  X  X  X  0  X  0  0  0  X  X  X  0  0  X  X  X  0  X  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+26x^58+41x^60+8x^61+31x^62+40x^63+27x^64+80x^65+30x^66+80x^67+21x^68+40x^69+20x^70+8x^71+22x^72+13x^74+9x^76+5x^78+6x^80+2x^82+1x^84+1x^122

The gray image is a linear code over GF(2) with n=132, k=9 and d=58.
This code was found by Heurico 1.16 in 0.093 seconds.