The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  0  1  1  1  X  1  1  1  0  0  1  1  1  1  0  X  X  0  X  0  1  X  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1  1  1  0  1  X  1  1
 0  1  1  0  1  1  0 X+1  1  1  0  1 X+1  0  1 X+1  X  1  0 X+1  1  0  X  1  1 X+1  0 X+1  1  1  0  X X+1  1  1  1  0  X  1  1  1  1  X  0  X  0  X  0 X+1  X  0  1 X+1  1 X+1  1  X  X  X  0  1  1  1 X+1  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  0  X  X  0  X  X  X  X  X  0  0  X  X  0  X  0  X  0  X  0  X  X  0  X  X  0  0  0  X  X  0  0  0  X  0  X  X  0  0  0  0  X  X  X  X  0  0  X  X  0
 0  0  0  X  0  0  0  X  0  X  X  0  0  X  0  X  0  0  X  0  X  0  X  X  X  0  X  0  X  X  0  0  X  X  X  X  X  0  0  X  0  X  0  X  X  X  0  X  0  0  0  0  0  X  0  X  X  0  0  X  X  0  X  X  0
 0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  X  X  X  X  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  X  0  0  0  X  X  0  0  0  0  X  X  0  X  X  0  0  0  0  0  X  X  0  X  0  0  X  0  X
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  X  X  0  0  0  X  0  X  X  0  X  0  X  0  X  X  0  0  X  0  0  0  0  X  0  0  X
 0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  0  0  0  X  0  X  0  X  X  0  X  X  X  0  X  0  X  0  0  X  0  X  0  X  X  0  X  0  0  X  0  X  0  X  0  0  0  X  X  X  0  X  X  X  0  0  X  0  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+20x^58+100x^60+97x^62+61x^64+68x^66+61x^68+48x^70+24x^72+14x^74+4x^76+7x^78+2x^82+3x^84+2x^88

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 0.063 seconds.