The generator matrix

 1  0  1  1  1  1  1
 0  1  7 26  0  0  0
 0  0  9  0  0  9  0
 0  0  0  9  0 18  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+92x^6+318x^9+2426x^12+11664x^14+4534x^15+626x^18+22x^21

The gray image is a code over GF(3) with n=63, k=9 and d=18.
This code was found by Heurico 1.16 in 0.0178 seconds.