The generator matrix

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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+144x^122+532x^123+468x^124+378x^125+1220x^126+360x^127+432x^128+942x^129+324x^130+342x^131+852x^132+288x^133+162x^134+78x^135+18x^136+12x^138+4x^144+2x^153+2x^177

The gray image is a code over GF(3) with n=576, k=8 and d=366.
This code was found by Heurico 1.16 in 0.285 seconds.