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 21  1  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  1  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  1 25 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  8  7  6 12
 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 19 13  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 12 18 11  3

generates a code of length 88 over Z27 who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+384x^169+618x^170+2022x^171+1764x^172+1338x^173+2658x^174+1758x^175+954x^176+1564x^177+1194x^178+924x^179+1262x^180+774x^181+480x^182+876x^183+474x^184+216x^185+278x^186+132x^187+6x^189+6x^197

The gray image is a code over GF(3) with n=792, k=9 and d=507.
This code was found by Heurico 1.16 in 1.34 seconds.