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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+48x^62+72x^64+40x^66+80x^68+130x^70+84x^72+8x^74+28x^78+18x^80+2x^86+1x^128

The gray image is a linear code over GF(2) with n=138, k=9 and d=62.
This code was found by Heurico 1.16 in 0.608 seconds.