The generator matrix

 1  0  1  1  1  1  1  1
 0  1  7 26 21  4 26  0
 0  0  9  0  0  9  9  0
 0  0  0  9  0 18  0  9
 0  0  0  0 18  9 18  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+18x^10+478x^12+108x^13+2106x^14+1792x^15+8964x^16+4212x^17+1788x^18+144x^19+44x^21+8x^24

The gray image is a code over GF(3) with n=72, k=9 and d=27.
This code was found by Heurico 1.16 in 0.0309 seconds.