The generator matrix

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

generates a code of length 9 over Z27 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+306x^12+1458x^14+1692x^15+7290x^16+5832x^17+19788x^18+14580x^19+5832x^20+2232x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=81, k=10 and d=36.
This code was found by Heurico 1.16 in 8.88 seconds.