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

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

Homogenous weight enumerator: w(x)=1x^0+86x^63+78x^65+220x^66+78x^68+186x^69+648x^70+102x^71+3168x^72+1296x^73+114x^74+208x^75+66x^77+166x^78+42x^80+44x^81+6x^83+40x^84+6x^87+4x^90+2x^105

The gray image is a code over GF(3) with n=324, k=8 and d=189.
This code was found by Heurico 1.16 in 0.14 seconds.