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

generates a code of length 36 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+58x^33+126x^34+90x^35+42x^36+66x^37+58x^38+22x^39+5x^40+4x^41+22x^42+16x^43+2x^46

The gray image is a linear code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.16 in 0.014 seconds.