The generator matrix

 1  0  0  1  1  1  0  1 X^2  1  1  X X^2+X  1  1  1  1 X^2  0  X X^2+X  1  X  1  1 X^2+X  1  1  1  X  1 X^2 X^2  1  1  0
 0  1  0  0  1 X^2+1  1  X  1  1 X^2+X  1 X^2 X^2+X+1  0  X X^2+1 X^2+X  1 X^2  1  1  1 X^2+X+1  0  1 X^2+X X^2+X+1  1  1  1 X^2+X  1  X X+1  1
 0  0  1 X+1 X^2+X+1  0 X+1 X^2+1 X^2+X  1 X^2 X^2+1  1 X^2  1  X X^2+X  1 X^2+X+1  1  0  X X^2+X+1 X+1 X^2+X+1  X X^2+X  1  1  0 X^2+X+1  1 X+1  0 X^2+X X^2
 0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0
 0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0  0 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+208x^32+208x^33+302x^34+248x^35+361x^36+128x^37+202x^38+112x^39+125x^40+48x^41+50x^42+24x^43+23x^44+6x^46+2x^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 0.167 seconds.