The generator matrix

 1  1  1  3  1  1  1  1
 0  3 24  3  0  0  0  0
 0  0  9  0  0  0  9  0
 0  0  0 18  0  0  9  0
 0  0  0  0  9  0  9  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+48x^6+160x^9+372x^12+2916x^14+540x^15+8748x^16+5832x^17+604x^18+420x^21+42x^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 0.0374 seconds.