The generator matrix

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

generates a code of length 36 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+20x^32+104x^33+35x^34+108x^35+23x^36+76x^37+24x^38+76x^39+19x^40+12x^41+4x^42+8x^43+1x^44+1x^66

The gray image is a linear code over GF(2) with n=144, k=9 and d=64.
This code was found by Heurico 1.16 in 0.0199 seconds.