The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  1  1  9  1  1  1
 0  1  0 15  1 16 17  9 20  1  7  5  4 14  1 13 12  2
 0  0  1 16  1 15 20 17  6 16 14 25 26 21 21 15  4 11

generates a code of length 18 over Z27 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+180x^31+786x^32+1596x^33+1914x^34+2448x^35+4832x^36+3204x^37+2736x^38+1572x^39+360x^40+24x^41+18x^42+12x^43

The gray image is a code over GF(3) with n=162, k=9 and d=93.
This code was found by Heurico 1.16 in 0.181 seconds.