The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  1  1 24  1  3  1  6
 0  1  1 26  0 25 17  1 18  1 25  2 17  1 16  0 21  1
 0  0 24  0  9  3 21  3 21  6 12  6  3 18 18  3 24  3
 0  0  0  3 15  9 15 15  9  0  6 21 18 24 15  6 24  9

generates a code of length 18 over Z27 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+198x^29+640x^30+762x^31+2514x^32+2014x^33+6996x^34+8502x^35+10946x^36+12942x^37+8730x^38+3032x^39+1110x^40+420x^41+128x^42+60x^43+48x^44+6x^45

The gray image is a code over GF(3) with n=162, k=10 and d=87.
This code was found by Heurico 1.16 in 51.3 seconds.