The generator matrix

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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+360x^103+486x^104+716x^105+924x^106+702x^107+670x^108+654x^109+426x^110+580x^111+534x^112+318x^113+40x^114+114x^115+6x^118+2x^120+12x^123+12x^125+4x^126

The gray image is a code over GF(3) with n=486, k=8 and d=309.
This code was found by Heurico 1.16 in 0.139 seconds.