The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  X  0  0  X  0  1  1  1  1  1  1  1  X  0  X  0  X  0  X  0  X  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  1  1  0  X  X  X  1  1  X  0  X  0  1  1  0  0  0
 0  1  0  0  1  1  1  0  X  X  1  1  1  1  X  1  1  X  1  1  X  0  1 X+1  0  0 X+1  1  1  1  1  1  1  1  1  1  1  1  0  X  0 X+1 X+1  1 X+1 X+1  1  X  0  X  0  0  0  X  0  X  0  X  0  0  0  X  1  1  X  0  1  X  1
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  0  X  X  1  1  0 X+1  1 X+1  1  0  X X+1  1  X X+1 X+1 X+1  1  1  1  1  1 X+1 X+1  0 X+1  1  1  0  0  1  X  X  X X+1  1  0  0 X+1  1  1  1  X  0  X  X  1  1  1  1  1 X+1  1  0 X+1
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  0  0  X  X  0  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  0  0  X  X  X
 0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  X  X  X  X  X  X  0  0  0  X  0  X  0  0  X  X  0  0  X  0  0  X  X  X  0  0  0  X  X  X  0  0  X  0  0  X  0  0  0  X  0  X  0  X  0  0  0  0  X  X
 0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  0  X  X  X  0  0  X  0  0  0  X  0  0  0  X  X  0  X  X  X  X  X  X  0  0  0  X  0  0  X  0  0  0  0  0  X  X  0  X  X  0  0  X  X  X  X  0  0  X  0  X  0  X  X

generates a code of length 69 over Z2[X]/(X^2) who�s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+143x^64+76x^66+104x^68+28x^70+72x^72+12x^74+20x^76+4x^78+36x^80+8x^82+4x^84+4x^88

The gray image is a linear code over GF(2) with n=138, k=9 and d=64.
This code was found by Heurico 1.16 in 0.125 seconds.