The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  1  1  1  1  1  1  1  0  1  1  1  1  3  1  1
 0  3 24  0 21 24  0 21 24  9 21 24 12  6  0 12  0 21 24 18 24 15 21 24 15 21  6 12  3 15 12  3  3 21  0  0
 0  0  9  0  0  0  0 18  9  0  9 18  9  0  0  9  9 18 18 18 18  9  0  9  0  0 18  0  9 18  0 18  0 18 18  0
 0  0  0  9  0  0  0  0  0 18  9 18 18 18  9 18  0 18  9  9  0  0 18  9  0  9  9 18 18 18  9 18  9 18  0 18
 0  0  0  0 18  0  9 18  9  9 18 18 18 18  0  0  0  9 18  9  0  9 18 18  9  9 18  0 18 18 18  9  0  9  0  0
 0  0  0  0  0  9  9  0 18  9  9  9 18  0  9 18  9 18  9 18 18  9  0  0  9 18  0  0 18 18  9 18 18  0  9 18

generates a code of length 36 over Z27 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 code over GF(3) with n=324, k=9 and d=180.
This code was found by Heurico 1.16 in 1.1 seconds.