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

generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+40x^58+47x^60+32x^62+167x^64+144x^66+16x^68+8x^70+8x^72+24x^74+16x^76+8x^78+1x^124

The gray image is a linear code over GF(2) with n=130, k=9 and d=58.
This code was found by Heurico 1.16 in 30.1 seconds.