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

generates a code of length 93 over Z27 who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+156x^178+210x^179+214x^180+210x^181+396x^182+732x^183+162x^184+828x^185+1274x^186+162x^187+750x^188+736x^189+102x^190+60x^191+174x^192+66x^193+78x^194+14x^195+36x^196+48x^197+6x^198+30x^199+30x^200+6x^201+24x^202+30x^203+24x^205+2x^249

The gray image is a code over GF(3) with n=837, k=8 and d=534.
This code was found by Heurico 1.16 in 0.805 seconds.