The generator matrix

 1  0  0  1  1  1  X X^2+X  1  1 X^2  1  1 X^2+X  1  1 X^2  1  X  1  X  1  1  X  1  1  1  1  1  1  1  1  1  0  1  0
 0  1  0  0 X^2+1 X+1  1  0 X^2 X+1  1  1  0  1 X^2+X+1 X^2+X+1 X^2  X  1 X^2  1  X X^2+1  1 X^2 X^2+1  X X^2+X+1 X+1  X X^2+1  X X+1  1  X X^2
 0  0  1  1 X^2+1 X^2 X^2+1  1  0 X+1  1  0 X^2+X+1 X^2 X+1 X^2  1  1 X^2+X X^2+X X^2+X+1 X^2  1 X^2 X^2+X+1  X X+1 X^2+X+1 X+1  1  X  0  1 X^2+X X^2+X+1  X
 0  0  0  X  X  0  X X^2+X  X X^2  0 X^2+X X^2 X^2+X  0 X^2+X X^2+X X^2 X^2+X X^2  0  X X^2+X X^2 X^2+X  0  0  X X^2+X X^2+X  X X^2  X X^2+X X^2+X  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+310x^32+546x^34+526x^36+306x^38+232x^40+102x^42+18x^44+6x^46+1x^48

The gray image is a linear code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.16 in 1.26 seconds.