The generator matrix

 1  0  1  1  1  1  1  0  1
 0  1  7 26 21  4 20  1  0
 0  0  9  0  0  9  9 18  0
 0  0  0  9  0 18  0 18 18
 0  0  0  0 18  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+54x^12+486x^14+180x^15+2430x^16+1944x^17+7530x^18+4860x^19+1944x^20+216x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=81, k=9 and d=36.
This code was found by Heurico 1.16 in 0.0521 seconds.