The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1  1 21  1  1  1  1  1 24 21  1  1  0  1  1  1 21  1  1 24  1 12  0  1  1 12  3  9  6 15  1  1  1  1  1  1 24  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24 23  1 19 20  4 21 20  1  1 26 16  1  4  0 19  1 16 26  1  8  1  1 24  6  1  1  1  1  1 17 23 20  8 11 24  1 11
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  0  9  0  9 18  9  9  0  9 18  9  0  0 18  9 18  9  0  9  0 18  0 18  0  9 18 18  0 18 18  0 18  0  9 18  9  9
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  0  9  9  0 18 18  9 18 18  0  9  9 18 18 18  9  9  0  0  9 18  0  9 18 18  9  0  9  0  9 18 18  0 18  0  9  0
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9  0 18  9  0  9  0  9 18 18 18  9  9 18  0  0  0  0  9  0 18  9  9  0 18  0  9  9  9 18  0 18 18  0  0  0

generates a code of length 55 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+434x^102+144x^103+414x^104+1320x^105+666x^106+1530x^107+1734x^108+1512x^109+3132x^110+2236x^111+1692x^112+2070x^113+1792x^114+360x^115+144x^116+368x^117+84x^120+34x^123+4x^126+2x^132+8x^135+2x^150

The gray image is a code over GF(3) with n=495, k=9 and d=306.
This code was found by Heurico 1.16 in 0.968 seconds.