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 18  9 18  0  0
 0  0  0  9  9 18 18  9  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^12+270x^14+58x^15+810x^16+432x^17+2488x^18+1620x^19+756x^20+80x^21+14x^24+4x^27

The gray image is a code over GF(3) with n=81, k=8 and d=36.
This code was found by Heurico 1.16 in 0.00769 seconds.