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

generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+13x^56+40x^58+8x^59+40x^60+28x^61+29x^62+56x^63+15x^64+76x^65+24x^66+56x^67+26x^68+20x^69+16x^70+8x^71+15x^72+4x^73+10x^74+14x^76+3x^78+4x^80+5x^82+1x^114

The gray image is a linear code over GF(2) with n=130, k=9 and d=56.
This code was found by Heurico 1.16 in 0.094 seconds.