The generator matrix

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

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+180x^33+356x^34+636x^35+716x^36+960x^37+868x^38+926x^39+878x^40+846x^41+680x^42+560x^43+260x^44+180x^45+62x^46+54x^47+17x^48+10x^49+2x^54

The gray image is a linear code over GF(2) with n=156, k=13 and d=66.
This code was found by Heurico 1.11 in 0.547 seconds.