The generator matrix

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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+650x^108+948x^109+2220x^110+4394x^111+5244x^112+6546x^113+11008x^114+12126x^115+14316x^116+17438x^117+19776x^118+19152x^119+19164x^120+15600x^121+11016x^122+9002x^123+4128x^124+1932x^125+1440x^126+426x^127+192x^128+220x^129+36x^130+6x^131+78x^132+36x^133+24x^134+28x^135

The gray image is a code over GF(3) with n=531, k=11 and d=324.
This code was found by Heurico 1.16 in 57.6 seconds.