The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+220x^108+198x^109+714x^110+1542x^111+1470x^112+2142x^113+4222x^114+2634x^115+4920x^116+7646x^117+5478x^118+6882x^119+8500x^120+3786x^121+3756x^122+2640x^123+816x^124+414x^125+448x^126+84x^127+72x^128+162x^129+72x^130+42x^131+86x^132+42x^133+12x^134+28x^135+20x^138

The gray image is a code over GF(3) with n=531, k=10 and d=324.
This code was found by Heurico 1.16 in 8.5 seconds.