The generator matrix

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

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+186x^33+336x^34+708x^35+679x^36+936x^37+779x^38+1042x^39+852x^40+882x^41+594x^42+586x^43+275x^44+220x^45+47x^46+46x^47+17x^48+4x^50+2x^51

The gray image is a linear code over GF(2) with n=156, k=13 and d=66.
This code was found by Heurico 1.16 in 1.39 seconds.