The generator matrix

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

generates a code of length 18 over Z27 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+558x^28+684x^29+4084x^30+6492x^31+18942x^32+22884x^33+63864x^34+69072x^35+110558x^36+120870x^37+69624x^38+30692x^39+10788x^40+2028x^41+172x^42+90x^43+30x^44+6x^45+2x^51

The gray image is a code over GF(3) with n=162, k=12 and d=84.
This code was found by Heurico 1.16 in 102 seconds.