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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+74x^171+84x^172+286x^174+108x^175+648x^176+310x^177+42x^178+1296x^179+78x^180+3000x^181+156x^183+36x^184+92x^186+42x^187+36x^189+30x^190+78x^192+18x^193+102x^195+24x^196+18x^199+2x^264

The gray image is a code over GF(3) with n=810, k=8 and d=513.
This code was found by Heurico 1.16 in 0.783 seconds.