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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+176x^159+144x^160+222x^161+436x^162+366x^163+510x^164+586x^165+1068x^166+816x^167+1786x^168+2796x^169+1884x^170+2880x^171+2742x^172+960x^173+564x^174+294x^175+210x^176+184x^177+156x^178+84x^179+200x^180+90x^181+54x^182+116x^183+72x^184+72x^185+56x^186+36x^187+42x^188+60x^189+6x^190+6x^191+6x^193+2x^234

The gray image is a code over GF(3) with n=765, k=9 and d=477.
This code was found by Heurico 1.16 in 2.85 seconds.