The generator matrix

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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+780x^104+996x^105+1152x^106+2688x^107+1734x^108+1536x^109+2748x^110+1586x^111+1122x^112+2172x^113+1026x^114+660x^115+978x^116+404x^117+48x^118+18x^119+4x^120+12x^121+6x^124+6x^125+6x^128

The gray image is a code over GF(3) with n=495, k=9 and d=312.
This code was found by Heurico 1.16 in 0.693 seconds.