The generator matrix

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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+168x^106+408x^107+830x^108+972x^109+1836x^110+3282x^111+2322x^112+4704x^113+5994x^114+3594x^115+7404x^116+7952x^117+3792x^118+6006x^119+5096x^120+1776x^121+1122x^122+816x^123+276x^124+264x^125+42x^126+150x^127+78x^128+26x^129+60x^130+42x^131+10x^132+12x^133+6x^134+4x^135+2x^141+2x^147

The gray image is a code over GF(3) with n=522, k=10 and d=318.
This code was found by Heurico 1.16 in 34.2 seconds.