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

generates a code of length 92 over Z27 who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+186x^173+260x^174+180x^175+444x^176+358x^177+348x^178+936x^179+846x^180+822x^181+2124x^182+2248x^183+1752x^184+3450x^185+2198x^186+912x^187+930x^188+180x^189+168x^190+276x^191+170x^192+78x^193+150x^194+144x^195+48x^196+120x^197+56x^198+30x^199+84x^200+74x^201+24x^202+24x^203+18x^204+6x^205+12x^206+6x^207+6x^208+12x^209+2x^255

The gray image is a code over GF(3) with n=828, k=9 and d=519.
This code was found by Heurico 1.16 in 3.22 seconds.