The generator matrix

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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+300x^123+738x^124+678x^125+840x^126+948x^127+414x^128+452x^129+558x^130+396x^131+502x^132+462x^133+126x^134+74x^135+36x^136+8x^141+6x^142+6x^143+6x^145+6x^147+4x^156

The gray image is a code over GF(3) with n=576, k=8 and d=369.
This code was found by Heurico 1.16 in 0.199 seconds.