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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+174x^163+246x^164+122x^165+492x^166+564x^167+218x^168+816x^169+1194x^170+666x^171+1692x^172+2862x^173+1642x^174+2538x^175+2934x^176+790x^177+894x^178+408x^179+62x^180+276x^181+246x^182+70x^183+186x^184+102x^185+30x^186+114x^187+108x^188+18x^189+54x^190+60x^191+18x^192+42x^193+18x^194+6x^195+12x^196+6x^200+2x^237

The gray image is a code over GF(3) with n=783, k=9 and d=489.
This code was found by Heurico 1.16 in 2.99 seconds.