The generator matrix

 1  0  1  1  1  1  1 21  3
 0  1  1 26 18 25 26  1  3
 0  0 24  9 21  3  6 15  3

generates a code of length 9 over Z27 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+216x^14+216x^15+648x^16+864x^17+2238x^18+1296x^19+864x^20+216x^21+2x^27

The gray image is a code over GF(3) with n=81, k=8 and d=42.
This code was found by Heurico 1.16 in 0.174 seconds.