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

generates a code of length 36 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+148x^63+150x^64+198x^65+684x^66+264x^67+438x^68+634x^69+2196x^70+912x^71+6494x^72+4194x^73+1062x^74+830x^75+288x^76+192x^77+464x^78+144x^79+96x^80+188x^81+48x^82+18x^83+32x^84+6x^85+2x^102

The gray image is a code over GF(3) with n=324, k=9 and d=189.
This code was found by Heurico 1.16 in 0.965 seconds.