The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  0  1  3  1  3  1  1
 0  3  0  0 18  3 21  3 18 21 15  3 15  3 12 24 24 18
 0  0  3  0 21 24 24  9 15 21 18 18  0 21  3 12 21 24
 0  0  0  3 15 12 15 21 18 21 21  9 18  6  0 12 12  3

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

Homogenous weight enumerator: w(x)=1x^0+198x^29+254x^30+300x^31+864x^32+536x^33+2328x^34+2070x^35+4842x^36+4230x^37+2232x^38+808x^39+366x^40+432x^41+112x^42+66x^43+36x^44+8x^45

The gray image is a code over GF(3) with n=162, k=9 and d=87.
This code was found by Heurico 1.16 in 0.39 seconds.