The generator matrix

 1  0  1  1  1  1  1  1 18  1  1 21  1 21  1  1  1  1  6  1  1  1  1  3  1  1 24  1  1  1  0  1  1  6  1  1  1  1 21  1 12  1  1  1  1  1  1 24 24  1 18  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1  1  3 18  0 15  0 18 15  1  1
 0  1  1 26 18 17  0 25  1 20  4  1 23  1 21 11 24  4  1  3 22 11 26  1 16  1  1 24 16  3  1 10  6  1 17 13  4 11  1 14  1 23 18  2 21 18 25  1  1 25  1  1 24 10 26  6 21  1 12  6 10 16  3  0  7  4  0 15  6 18  8 19 10  7  1 22 22  1  1  1  1  1  1  1  1 19  9
 0  0 24  9 21 12  6  3  3 18  0  6 18  0  0 15 15  6 24  3 12 24 21 21  6  9 18 18  9  6 24 12 21  3 24  3 24 21 15 12 12 15 18  9 15  3  0 15  9 12 18 24  0 15  6 24 12  0  3  6  3 15 18 21 24 18 24  9  3  9  0 18  6 21  9 21  6  3 18  6 15  0 21 12 21  0  9

generates a code of length 87 over Z27 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+78x^168+216x^169+1344x^170+378x^171+594x^172+966x^173+382x^174+270x^175+768x^176+228x^177+234x^178+606x^179+114x^180+126x^181+180x^182+28x^183+18x^184+6x^185+12x^188+2x^189+6x^191+2x^192+2x^219

The gray image is a code over GF(3) with n=783, k=8 and d=504.
This code was found by Heurico 1.16 in 0.431 seconds.