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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+406x^183+18x^184+1126x^186+270x^187+108x^188+964x^189+1224x^190+648x^191+1048x^192+3276x^193+2754x^194+832x^195+3186x^196+864x^197+686x^198+774x^199+482x^201+382x^204+336x^207+178x^210+72x^213+18x^216+28x^219+2x^261

The gray image is a code over GF(3) with n=873, k=9 and d=549.
This code was found by Heurico 1.16 in 3.96 seconds.