The generator matrix

 1  0  1  1  1  1  1  1  0  1 18  1  1  1  1 24  1 21  1  1  3 21  1  1  1  1  1  1  1  1  1  1  0  1 15  1  1  1 18  1  1  1 21  1  1  1  1  1 15  0  1  1  1  1  1  1 18  1  0 12  1  1  3  1  3  1 24  1  1  1  3 24 21 15  1  1  1  1  1  1  1  1 12  1  1  1  3
 0  1  1 26 21 20 16 24  1 22  1 17  5 16 18  1  4  1 26  0  1  1 23 25 15 20 12  4 26 14 24 25  1  4  1 19  0 12  1  2 21  7  1  1 15  3 26  1  1  1 22  2 12 17  9 23  1 14  1  1 12 13  1 11  1 14  1  3 21  7  1  1  1  1 13 24 15 11 24  4  7 14  1 11 20 15  3
 0  0 24  0 18 18  9  0  6 21 21 21 15  6 12 15 24 15 24 15 21  0  9 21 12 15  3 12  6 21 24 18 24  9 12 18  0  6  0  3  0 15 12 12  3 18  9 24  0 24 21  3 21 12 21  3 18 24 21 24  9  0  9 24  9  6  9 15 24 18 21 24  3 21  6 21 15 12 24  3  3 18  0 15  3  0 21
 0  0  0  9  9  0 18 18 18  9  9  0  0 18  0  0  9  9 18  0  0 18  0 18 18 18  9  9  9 18  0 18  0  0 18  9  9 18 18  9 18  9  9  0 18  0  9  9  0  9 18  0  0 18  9  0  9  9 18  0 18 18  0  9  9  0 18  0 18  0 18  9  9  0  0  0  9 18 18 18  9 18  9  0  0  9  9

generates a code of length 87 over Z27 who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+288x^166+756x^167+932x^168+936x^169+1584x^170+1400x^171+1356x^172+2244x^173+1496x^174+1302x^175+2166x^176+1372x^177+822x^178+1068x^179+766x^180+534x^181+348x^182+84x^183+78x^184+60x^185+8x^186+6x^187+6x^188+2x^189+12x^190+6x^191+2x^192+6x^194+2x^195+6x^197+6x^199+12x^200+2x^201+6x^202+8x^204

The gray image is a code over GF(3) with n=783, k=9 and d=498.
This code was found by Heurico 1.16 in 5.09 seconds.