The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+16x^67+34x^68+32x^69+12x^70+16x^71+10x^72+2x^76+4x^78+1x^80

The gray image is a linear code over GF(2) with n=138, k=7 and d=67.
This code was found by Heurico 1.16 in 0.0643 seconds.