The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+99x^34+93x^36+69x^38+84x^40+76x^42+72x^44+3x^48+9x^50+3x^52+3x^54

The gray image is a linear code over GF(2) with n=78, k=9 and d=34.
This code was found by Heurico 1.16 in 25.3 seconds.