The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1
 0  1  1  8  0  1  8  0  0  0  0  0
 0  0  6  0  0  0  0  0  0  3  3  0
 0  0  0  3  0  0  0  0  3  6  6  0
 0  0  0  0  3  0  0  0  6  6  3  0
 0  0  0  0  0  6  0  0  6  6  6  0
 0  0  0  0  0  0  3  0  6  6  0  0
 0  0  0  0  0  0  0  3  6  3  0  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^9+18x^10+152x^12+180x^13+356x^15+756x^16+728x^18+1800x^19+2916x^20+1172x^21+7254x^22+11664x^23+1466x^24+12204x^25+11664x^26+1288x^27+2880x^28+890x^30+1152x^31+392x^33+72x^36

The gray image is a code over GF(3) with n=36, k=10 and d=9.
This code was found by Heurico 1.16 in 0.719 seconds.