The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1  1 26  0 25 16 25 22
 0  0 24  0  9  3  9  6 12
 0  0  0  3 15  9  9 21  6

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

Homogenous weight enumerator: w(x)=1x^0+300x^12+120x^13+882x^14+1306x^15+6876x^16+2592x^17+28328x^18+13752x^19+2700x^20+1884x^21+150x^22+144x^23+14x^24

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 0.531 seconds.