The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1  1  X X^2+X  X  X  0  X  1  1  1  1 X^2  1  0  1  1  X  0 X^2+X  1  1  0  1 X^2+X  1  1  0  1
 0  1  0  X  1 X^2+X+1  1 X^2+X X^2  X X+1  1  1  1  X  1 X^2+X  1 X^2+X X+1  1  1  1  0  1 X+1  X  1 X^2+X  0 X^2+1 X^2+X  1  1  1 X^2 X^2+1  1  X
 0  0  1  1 X^2+X+1 X^2+X  1 X+1  1  X  0  1  X X+1  1 X^2  1 X^2  0 X+1 X+1  X  1 X^2+X+1 X+1  1  1 X^2+X  1  1  0  X X^2+X X^2+X+1  0  X  0  0 X^2+X
 0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0
 0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0
 0  0  0  0  0 X^2  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2  0  0 X^2
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0  0  0  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0 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 32.

Homogenous weight enumerator: w(x)=1x^0+38x^32+258x^33+174x^34+814x^35+374x^36+1240x^37+465x^38+1526x^39+442x^40+1336x^41+332x^42+686x^43+152x^44+224x^45+46x^46+42x^47+15x^48+14x^49+6x^50+4x^51+2x^52+1x^54

The gray image is a linear code over GF(2) with n=156, k=13 and d=64.
This code was found by Heurico 1.16 in 1.5 seconds.