The generator matrix

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

generates a code of length 65 over Z27 who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+906x^123+126x^124+864x^125+2402x^126+324x^127+1638x^128+3672x^129+540x^130+1998x^131+3348x^132+360x^133+1242x^134+1496x^135+108x^136+90x^137+386x^138+90x^141+50x^144+26x^147+12x^150+2x^156+2x^162

The gray image is a code over GF(3) with n=585, k=9 and d=369.
This code was found by Heurico 1.16 in 7 seconds.