The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  1  1  0  X  1  1  1  X  1  X  X  0  1  0  1  1  0  X  1  1  0  1  0  1  X  0  1  X
 0  1  0  0  0  0  0  0  0  0  0  X  X  1  1 X+1  1  1  X X+1  1  X  1  1  1 X+1  0  1  1  1  1  X X+1  X  0  1  1  X  1
 0  0  1  0  0  0  1  1  1  X X+1  0  1 X+1  1  X  X  1  X X+1  0  1  X  0  0  X  1  0  1 X+1  X  1 X+1  1 X+1  0  0  1  1
 0  0  0  1  0  1  1  X X+1  0  0  1 X+1 X+1  0  X  1 X+1  1  0 X+1  1  X  1  1  0  1 X+1 X+1  X X+1 X+1  X  0  X  1 X+1  X  1
 0  0  0  0  1  1  X X+1  1  1  0  X X+1 X+1  X  1  X  1 X+1 X+1 X+1  1  1 X+1  0  0  0  X  0  0 X+1  X X+1 X+1  1  1  0  1 X+1
 0  0  0  0  0  X  0  X  0  0  X  X  0  0  X  0  X  X  0  0  0  X  X  0  X  X  X  0  X  0  X  X  X  0  0  0  X  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+133x^32+290x^34+340x^36+310x^38+309x^40+244x^42+219x^44+126x^46+53x^48+22x^50+1x^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 0.282 seconds.