The generator matrix

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

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+132x^32+444x^33+674x^34+1128x^35+1301x^36+1692x^37+1699x^38+2120x^39+1842x^40+1846x^41+1302x^42+1092x^43+503x^44+308x^45+193x^46+56x^47+27x^48+10x^49+2x^50+4x^51+2x^52+4x^53+2x^54

The gray image is a linear code over GF(2) with n=156, k=14 and d=64.
This code was found by Heurico 1.13 in 2 seconds.