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

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+49x^36+138x^37+68x^38+72x^39+68x^40+46x^41+29x^42+2x^44+20x^45+5x^46+12x^47+2x^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 1.16 in 0.0174 seconds.