The generator matrix

 1  1  1  1  1  1  1  1
 0  9  0  0  0  0  9  0
 0  0  9  0  0  0 18  0
 0  0  0  9  0  0 18  0
 0  0  0  0  9  0 18  0
 0  0  0  0  0  9 18  0

generates a code of length 8 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+30x^6+52x^9+120x^12+180x^15+5832x^16+172x^18+132x^21+42x^24

The gray image is a code over GF(3) with n=72, k=8 and d=18.
This code was found by Heurico 1.16 in 0.0062 seconds.