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

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+191x^32+64x^33+192x^35+162x^36+192x^37+64x^39+120x^40+37x^44+1x^60

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 5.12 seconds.