The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^18+324x^20+216x^21+18x^24+8x^27

The gray image is a code over GF(3) with n=90, k=6 and d=54.
This code was found by Heurico 1.16 in 0.000922 seconds.