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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+188x^171+198x^172+264x^173+464x^174+330x^175+474x^176+812x^177+1092x^178+834x^179+1556x^180+2670x^181+1884x^182+2580x^183+2802x^184+936x^185+796x^186+318x^187+174x^188+202x^189+150x^190+90x^191+166x^192+96x^193+78x^194+136x^195+66x^196+72x^197+120x^198+42x^199+30x^200+18x^201+12x^202+24x^203+6x^204+2x^249

The gray image is a code over GF(3) with n=819, k=9 and d=513.
This code was found by Heurico 1.16 in 3.21 seconds.