The generator matrix

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

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+54x^33+87x^34+98x^35+124x^36+100x^37+76x^38+76x^39+63x^40+56x^41+51x^42+38x^43+54x^44+52x^45+38x^46+24x^47+14x^48+10x^49+4x^50+4x^51

The gray image is a linear code over GF(2) with n=78, k=10 and d=33.
This code was found by Heurico 1.10 in 0.031 seconds.