The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1  7 26 21  4 26  0  0
 0  0  9  0  0  0  9  0  9
 0  0  0  9  0  0 18  9 18
 0  0  0  0 18  0 18 18 18
 0  0  0  0  0  9 18 18  9

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

Homogenous weight enumerator: w(x)=1x^0+30x^9+18x^10+246x^12+144x^13+810x^14+1110x^15+6750x^16+3240x^17+28380x^18+13212x^19+3240x^20+1482x^21+288x^22+78x^24+20x^27

The gray image is a code over GF(3) with n=81, k=10 and d=27.
This code was found by Heurico 1.16 in 0.254 seconds.