The generator matrix

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

generates a code of length 39 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+86x^36+92x^37+83x^38+48x^39+87x^40+24x^41+35x^42+16x^43+8x^44+12x^45+17x^46+2x^48+1x^50

The gray image is a linear code over GF(2) with n=156, k=9 and d=72.
This code was found by Heurico 1.11 in 0.016 seconds.