The generator matrix

 1  1  1  3  1  1  1
 0  3 24  3  0  0  0
 0  0  9  0  0  9  0
 0  0  0 18  0  9  0
 0  0  0  0  9 18  0

generates a code of length 7 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+38x^6+102x^9+1130x^12+2916x^14+2158x^15+194x^18+22x^21

The gray image is a code over GF(3) with n=63, k=8 and d=18.
This code was found by Heurico 1.16 in 0.00445 seconds.