The generator matrix

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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+306x^167+1128x^168+666x^169+702x^170+1048x^171+204x^172+222x^173+546x^174+186x^175+384x^176+552x^177+240x^178+168x^179+180x^180+8x^183+12x^186+4x^189+4x^201

The gray image is a code over GF(3) with n=774, k=8 and d=501.
This code was found by Heurico 1.16 in 0.419 seconds.