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

generates a code of length 57 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+114x^102+96x^103+90x^104+300x^105+210x^106+186x^107+616x^108+660x^109+690x^110+1548x^111+1464x^112+2184x^113+2642x^114+1992x^115+2280x^116+2082x^117+1146x^118+228x^119+418x^120+114x^121+156x^122+156x^123+120x^124+18x^125+56x^126+30x^127+22x^129+30x^132+18x^135+4x^138+4x^141+8x^144

The gray image is a code over GF(3) with n=513, k=9 and d=306.
This code was found by Heurico 1.16 in 2.04 seconds.