The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  1  1  1  1  1  1  1 X^2  1  1
 0  X  0  0 X^2 X^2+X X^2+X X^2+X  0 X^2 X^2 X^2+X X^2+X  0  X  X  0 X^2+X  0 X^2+X X^2  0  X X^2+X X^2  0 X^2+X X^2  0 X^2 X^2+X  X  X X^2  0  0
 0  0  X  0 X^2+X X^2+X  X  0 X^2 X^2+X  0  X X^2  X X^2  X  0 X^2+X X^2+X  0 X^2 X^2+X  X  0  0 X^2 X^2+X  X X^2  X X^2+X X^2 X^2  0  0  0
 0  0  0  X  X X^2  X X^2+X X^2 X^2  X X^2+X  0 X^2+X  X  0 X^2 X^2+X  X  0  X X^2 X^2  X X^2  0  X X^2+X  X  0  0 X^2+X  0 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+51x^32+224x^34+43x^36+128x^38+12x^40+32x^42+20x^44+1x^68

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 0.0225 seconds.