The generator matrix

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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+402x^115+408x^116+8x^117+726x^118+198x^119+10x^120+150x^121+144x^122+2x^123+126x^124+6x^125+2x^129+2x^132+2x^141

The gray image is a code over GF(3) with n=531, k=7 and d=345.
This code was found by Heurico 1.16 in 35.6 seconds.