The generator matrix

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

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+193x^32+68x^33+534x^34+216x^35+966x^36+436x^37+1398x^38+600x^39+1452x^40+460x^41+864x^42+200x^43+520x^44+60x^45+136x^46+8x^47+66x^48+10x^50+2x^52+2x^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 2.16 seconds.