The generator matrix

 1  0  1  1  1 X^2  X  1  1  1  1  0  1  1 X^2  1  1 X^2 X^2+X  1  1  1  1  0  0  0 X^2+X  X  0  1  1  1  1  X  1  1
 0  1  1 X^2+X X^2+X+1  1  1 X^2 X^2+1  X X+1  1 X^2+X X^2+X+1  1 X^2 X^2+1  1  1  0 X+1  X  1  1  X  X  1  1  0 X^2  0  1 X^2+X+1 X^2 X+1 X^2+X+1
 0  0  X  0 X^2+X  X X^2+X  X X^2 X^2+X  0 X^2 X^2  X  X  X X^2 X^2 X^2+X X^2  0 X^2+X X^2+X  0 X^2+X  X  0  0  X  0  0 X^2 X^2  X X^2+X X^2+X
 0  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0
 0  0  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  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+102x^32+68x^33+244x^34+84x^35+155x^36+40x^37+144x^38+40x^39+77x^40+20x^41+28x^42+4x^43+9x^44+8x^48

The gray image is a linear code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 0.0436 seconds.