The generator matrix

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

generates a code of length 89 over Z27 who´s minimum homogenous weight is 170.

Homogenous weight enumerator: w(x)=1x^0+462x^170+364x^171+792x^172+1656x^173+1310x^174+1260x^175+2004x^176+1248x^177+1782x^178+2136x^179+1050x^180+1260x^181+1644x^182+874x^183+630x^184+648x^185+174x^186+108x^187+114x^188+20x^189+18x^191+16x^192+12x^194+18x^195+24x^197+14x^198+24x^200+14x^201+6x^209

The gray image is a code over GF(3) with n=801, k=9 and d=510.
This code was found by Heurico 1.16 in 1.9 seconds.