The generator matrix

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

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+64x^33+107x^34+94x^35+72x^36+50x^37+51x^38+18x^39+5x^40+14x^41+17x^42+16x^43+2x^44+1x^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 1.11 in 0 seconds.