The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3  1 24  1  1 15 18  1 12  1  1 12  1  1  1  1 24  1  1  1 18  1  1  1  1  9  1  1  1  3  1  1 21  1  1  1  1  1  1  1  1  1  1  6 21  1 15  1  1  1 12 24  1  1  1  1  1  1  9  3  3  1 15 18  1  1  1  3 21  1  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1 16  1 11 24 21  1  8  1 14  6 12 11  7 20  4  1 16  3 10 15 24  6 18  2  1 17 23  1  1  8 25  1 10 12  3 14  0  7 22  6  4 16 18  1 20  1 19 17  8  1  1 24  3 17 12  4 11  1  0  6  7  1  1 11 26  0  1  1  2 10 18
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 14 13 10 26  1 12 11 14  3 25  1 12  6 16  1 14 17  1 15  1  3 13 23  8  7 10 15  1 20  4 13 19  2  5 22 20 10  2 15  9  4  3  1 25 11  3 13 12  7  3  8 10  0 18  2 20  4 17  1  1 19 18  1  6 14 22 22  0 17  8  6

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

Homogenous weight enumerator: w(x)=1x^0+390x^171+678x^172+1908x^173+1650x^174+1758x^175+2430x^176+1694x^177+1200x^178+1380x^179+1128x^180+936x^181+1110x^182+850x^183+648x^184+840x^185+370x^186+270x^187+270x^188+146x^189+18x^190+2x^192+6x^195

The gray image is a code over GF(3) with n=801, k=9 and d=513.
This code was found by Heurico 1.16 in 1.37 seconds.