The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  1  1 X^2 X^2  1  1  1  X  1  1  0  X X^2  1 X^2  1  X
 0  X  0  0  0  0  0 X^2 X^2  X X^2+X  X  X  X X^2+X  X  0 X^2+X X^2 X^2  X  X  0 X^2+X  X  X  X X^2+X  X  0  X X^2+X  0 X^2  X  X  X  X  0
 0  0  X  0  0 X^2 X^2+X  X  X  X  X  X X^2+X  0  0  0 X^2 X^2 X^2+X X^2  X X^2 X^2+X  X  0  0  X  0  0  0 X^2+X  X X^2 X^2 X^2+X  0 X^2+X  X  X
 0  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2+X  0  0  X  X X^2  X X^2 X^2+X  X X^2  X  0  0 X^2 X^2+X  0 X^2+X  0 X^2 X^2  X  0 X^2+X X^2+X  X  X X^2+X X^2
 0  0  0  0  X  X X^2 X^2+X  X X^2+X X^2 X^2  X X^2 X^2+X  X  X X^2 X^2  X X^2 X^2+X X^2  0 X^2+X  0  X X^2 X^2+X X^2+X  0 X^2+X  X X^2 X^2+X X^2+X X^2+X X^2 X^2+X

generates a code of length 39 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+80x^33+100x^34+156x^35+91x^36+396x^37+92x^38+324x^39+76x^40+348x^41+56x^42+132x^43+39x^44+68x^45+36x^46+28x^47+14x^48+4x^49+4x^50+2x^52+1x^56

The gray image is a linear code over GF(2) with n=156, k=11 and d=66.
This code was found by Heurico 1.16 in 15.8 seconds.