The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+186x^32+198x^34+375x^36+266x^38+368x^40+222x^42+276x^44+78x^46+61x^48+4x^50+13x^52

The gray image is a linear code over GF(2) with n=78, k=11 and d=32.
This code was found by Heurico 1.16 in 0.448 seconds.