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

generates a code of length 89 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+420x^171+36x^172+126x^173+740x^174+216x^175+756x^176+782x^177+432x^178+1350x^179+566x^180+288x^181+198x^182+298x^183+136x^186+88x^189+60x^192+36x^195+30x^198+2x^243

The gray image is a code over GF(3) with n=801, k=8 and d=513.
This code was found by Heurico 1.16 in 1.39 seconds.