The generator matrix

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

generates a code of length 8 over Z27 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+20x^9+46x^12+64x^15+1944x^16+60x^18+44x^21+8x^24

The gray image is a code over GF(3) with n=72, k=7 and d=27.
This code was found by Heurico 1.16 in 0.00134 seconds.