The generator matrix

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

generates a code of length 36 over Z3[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+72x^60+60x^62+258x^63+18x^64+150x^65+454x^66+144x^67+714x^68+600x^69+3348x^70+2232x^71+768x^72+6408x^73+2322x^74+808x^75+288x^76+258x^77+440x^78+84x^80+128x^81+12x^83+82x^84+20x^87+6x^90+6x^93+2x^96

The gray image is a linear code over GF(3) with n=324, k=9 and d=180.
This code was found by Heurico 1.16 in 1.08 seconds.