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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+306x^173+246x^174+162x^175+654x^176+504x^177+486x^178+786x^179+744x^180+486x^181+696x^182+556x^183+324x^184+264x^185+60x^186+36x^188+14x^189+42x^191+30x^192+84x^194+12x^195+24x^197+6x^198+18x^200+12x^201+6x^203+2x^237

The gray image is a code over GF(3) with n=810, k=8 and d=519.
This code was found by Heurico 1.16 in 77 seconds.