The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+20x^6+30x^9+50x^12+1944x^14+70x^15+50x^18+22x^21

The gray image is a code over GF(3) with n=63, k=7 and d=18.
This code was found by Heurico 1.16 in 0.000811 seconds.