The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+48x^33+118x^34+102x^35+61x^36+94x^37+115x^38+86x^39+33x^40+66x^41+95x^42+38x^43+29x^44+34x^45+49x^46+26x^47+2x^48+14x^49+7x^50+4x^51+2x^52

The gray image is a linear code over GF(2) with n=78, k=10 and d=33.
This code was found by Heurico 1.16 in 2.88 seconds.