The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+35x^36+24x^38+38x^40+24x^42+5x^44+1x^72

The gray image is a linear code over GF(2) with n=78, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00799 seconds.