The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  3  1  1  1
 0  3 24  0 21 24  6  9 21 21  0 24 21  0 24  6 18 12 21  0  9 12  0 21 24  6  6 15  9 12  9 24 12 12 21 12 21 12 12 18  6  9  9  6 15 24  0 21 12  9 18  6  6 24  3  9 21  9 24 18 12  0  6 24 18
 0  0  9  0  0  0 18  0 18  9  0  9  9  9  0  9  9  0 18 18  9  0 18  9  9  0 18 18 18  9  9  0  9 18 18  9 18  0  0 18 18 18 18 18 18 18 18  9  0  9  0 18  0  0 18 18  9  9  9  0 18  9  0  0  0
 0  0  0  9  0  9 18 18 18  9  0 18  0 18 18 18  0 18  0  0 18  9 18  0  9  0  0  9  9 18  9  0  9  9  9 18 18 18  9  0  0 18  9 18  9  9  0  9 18  9  9 18  9  9 18 18  0 18  9 18  9 18  0 18  0
 0  0  0  0 18 18  9  0 18  9 18 18  0  0 18  0  9  0 18 18  9  0 18  9  0 18  9  9 18  9  9  9  0 18  9  0  9 18 18  0 18  9  0 18  0 18  9 18  9  0 18  0  0  9  0  0 18 18 18  9  0 18  0  0  9

generates a code of length 65 over Z27 who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+258x^122+40x^123+294x^125+108x^126+732x^128+272x^129+2916x^130+1164x^131+242x^132+156x^134+22x^135+132x^137+30x^138+66x^140+6x^141+72x^143+2x^144+36x^146+4x^147+6x^149+2x^189

The gray image is a code over GF(3) with n=585, k=8 and d=366.
This code was found by Heurico 1.16 in 25 seconds.