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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+378x^101+300x^102+54x^103+978x^104+534x^105+270x^106+1356x^107+2284x^108+1350x^109+3498x^110+3912x^111+1134x^112+1500x^113+606x^114+108x^115+516x^116+218x^117+252x^119+106x^120+204x^122+48x^123+54x^125+8x^126+12x^128+2x^147

The gray image is a code over GF(3) with n=495, k=9 and d=303.
This code was found by Heurico 1.16 in 31.8 seconds.