The generator matrix

 1  0  1  1  1 21  1  1 24  1  1  9  1  1 12  1  1  6
 0  1 16 21  4  1 24 19  1  9  7  1 12 13  1  6 10  1

generates a code of length 18 over Z27 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+324x^35+240x^36+162x^38+2x^54

The gray image is a code over GF(3) with n=162, k=6 and d=105.
This code was found by Heurico 1.16 in 0.133 seconds.