The generator matrix

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

generates a code of length 10 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+8x^18+216x^20+16x^21+2x^30

The gray image is a code over GF(3) with n=90, k=5 and d=54.
This code was found by Heurico 1.16 in 0.000259 seconds.