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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+324x^167+214x^168+72x^169+660x^170+428x^171+270x^172+1284x^173+542x^174+540x^175+1194x^176+354x^177+90x^178+186x^179+64x^180+72x^182+38x^183+84x^185+26x^186+36x^188+20x^189+30x^191+12x^192+18x^194+2x^237

The gray image is a code over GF(3) with n=783, k=8 and d=501.
This code was found by Heurico 1.16 in 96.3 seconds.