The generator matrix

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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+512x^189+714x^190+822x^191+1240x^192+624x^193+156x^194+340x^195+264x^196+144x^197+578x^198+378x^199+330x^200+264x^201+114x^202+6x^203+54x^204+6x^205+2x^207+6x^208+2x^216+2x^219+2x^231

The gray image is a code over GF(3) with n=873, k=8 and d=567.
This code was found by Heurico 1.16 in 0.592 seconds.