The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1 21  1  1  6  3  1  1  1  1  1  1 24 18  1  1 24  1 21  1  1 12  1  1
 0  1  0  0 18  1 19  1  3 12 11 23  2  1 21  6  1  1 19  9 26  8 13 25  1  1  2 26 21 15  1  0 24  1  7  4
 0  0  1  0 16 25 14  7  4  5 15  1 11  8 24  5  6  7  4 21 10  3  3  0  2 10  9 26  1  7 23 17  1 15 13 15
 0  0  0  1 14  9  5  5  1 21 13  3 11 22 26  4 13 25 16 10  1  0 13 21 21  3 17  3  1 12  8 20 20  6  1 14

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

Homogenous weight enumerator: w(x)=1x^0+1292x^63+2970x^64+4824x^65+10926x^66+17358x^67+23076x^68+36888x^69+52662x^70+61272x^71+74984x^72+81906x^73+63540x^74+49488x^75+29580x^76+12024x^77+6348x^78+1950x^79+18x^80+88x^81+192x^82+48x^84+6x^85

The gray image is a code over GF(3) with n=324, k=12 and d=189.
This code was found by Heurico 1.16 in 269 seconds.