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

generates a code of length 93 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+120x^174+102x^175+120x^176+498x^177+252x^178+228x^179+666x^180+414x^181+1194x^182+1336x^183+1104x^184+3330x^185+1754x^186+1722x^187+3294x^188+1158x^189+444x^190+372x^191+322x^192+108x^193+66x^194+312x^195+96x^196+72x^197+152x^198+42x^199+36x^200+156x^201+36x^202+30x^203+64x^204+36x^205+6x^206+12x^207+18x^208+8x^210+2x^255

The gray image is a code over GF(3) with n=837, k=9 and d=522.
This code was found by Heurico 1.16 in 3.58 seconds.