The generator matrix

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

generates a code of length 39 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+34x^34+218x^35+183x^36+330x^37+214x^38+296x^39+130x^40+210x^41+120x^42+146x^43+68x^44+64x^45+14x^46+12x^47+1x^48+2x^49+2x^50+1x^52+2x^53

The gray image is a linear code over GF(2) with n=156, k=11 and d=68.
This code was found by Heurico 1.16 in 0.106 seconds.