The generator matrix

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

generates a code of length 65 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+518x^120+36x^121+360x^122+2806x^123+270x^124+2124x^125+6492x^126+1044x^127+4752x^128+9976x^129+1530x^130+6336x^131+10912x^132+1296x^133+3600x^134+5136x^135+198x^136+324x^137+772x^138+328x^141+178x^144+38x^147+12x^150+10x^153

The gray image is a code over GF(3) with n=585, k=10 and d=360.
This code was found by Heurico 1.16 in 23.9 seconds.