The generator matrix

 1  0  0  1  1  1  1  0  1  1  1  1  6 18  1 24  1  9  1  1  1  1  1  1  1 21  1  1  1  6  1  3  1 15  3  1  1  1 12  1  1  1 21  1  1  1 24  1  3  1  1  1  1  1  1  1  1  1  9  1  1  1  1  1
 0  1  0  0  9 16 17  1 16 26 17 25  1 21 26  1 18  1  3 20 13 21  1 11 10  1 22  2 13  1  6 21  5  1  1 19  3  1  1 15 12 23  1  1 22  0 18 12  1 24  4 26 24 14 25 22 26 14  9  2 19 19  6 14
 0  0  1  7 17  8 20  5 18 24 19  1  7  1  4 23 24 25  1 15 10 14 21  8 26 18  4 21 23 19  7  1 16 22  3  0 11 22 26 12 12  4  5  0 23 10  1  8  9 19 26 25 26  1 22  6 14  4  1 14 19  6 20  2
 0  0  0  9 18 18 18 18  0  0  9  9  9  9 18  0 18  0 18  9 18  9  9  9  9  9  0 18  0 18  0 18  0  9  9 18  9 18  9  9 18  9 18  9 18  0  0  0 18 18  9 18  0  0  0  0  0 18 18  9 18 18 18  9

generates a code of length 64 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+682x^120+1530x^121+1926x^122+3308x^123+4320x^124+3870x^125+5444x^126+5940x^127+5058x^128+5646x^129+5760x^130+4716x^131+4078x^132+2928x^133+1314x^134+1356x^135+786x^136+126x^137+98x^138+90x^139+30x^141+18x^142+12x^144+6x^145+6x^151

The gray image is a code over GF(3) with n=576, k=10 and d=360.
This code was found by Heurico 1.16 in 7.56 seconds.