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

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

Homogenous weight enumerator: w(x)=1x^0+300x^173+220x^174+54x^175+612x^176+650x^177+360x^178+966x^179+1118x^180+1260x^181+1080x^182+2500x^183+2268x^184+1146x^185+2262x^186+1638x^187+750x^188+776x^189+252x^190+312x^191+220x^192+222x^194+124x^195+246x^197+76x^198+126x^200+64x^201+54x^203+6x^204+18x^206+2x^237

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 3.59 seconds.