The generator matrix

 1  0  0  1  1  1  1  1  1
 0  1  0 15  1 21 14  3 16
 0  0  1 25  1 14 16  1 14
 0  0  0 18  9  0  9 18 18

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

Homogenous weight enumerator: w(x)=1x^0+116x^12+1476x^14+722x^15+7614x^16+5508x^17+21788x^18+15228x^19+5616x^20+928x^21+36x^23+16x^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 0.429 seconds.