The generator matrix

 1  0  0  0  1  1  1  1  1
 0  1  0  0  6  1  3  4  8
 0  0  1  0  7  1  4  6  2
 0  0  0  1  5  3  6  7  8

generates a code of length 9 over Z9 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+156x^12+120x^13+396x^14+442x^15+558x^16+648x^17+1328x^18+1116x^19+756x^20+732x^21+150x^22+144x^23+14x^24

The gray image is a code over GF(3) with n=27, k=8 and d=12.
This code was found by Heurico 1.13 in 0.015 seconds.