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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+108x^102+330x^103+168x^104+368x^105+462x^106+258x^107+990x^108+822x^109+1704x^110+2076x^111+4200x^112+3210x^113+2388x^114+828x^115+312x^116+250x^117+282x^118+120x^119+228x^120+180x^121+24x^122+102x^123+132x^124+24x^125+28x^126+48x^127+12x^128+16x^129+6x^130+4x^132+2x^156

The gray image is a code over GF(3) with n=504, k=9 and d=306.
This code was found by Heurico 1.16 in 1.82 seconds.