The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^6+112x^9+420x^12+560x^15+17496x^16+616x^18+336x^21+86x^24

The gray image is a code over GF(3) with n=72, k=9 and d=18.
This code was found by Heurico 1.16 in 0.0538 seconds.