The generator matrix

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

generates a code of length 11 over Z9 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+30x^9+18x^10+98x^12+144x^13+190x^15+468x^16+1302x^18+864x^19+1458x^20+4382x^21+1152x^22+2916x^23+4360x^24+1152x^25+368x^27+576x^28+164x^30+40x^33

The gray image is a code over GF(3) with n=33, k=9 and d=9.
This code was found by Heurico 1.16 in 0.0882 seconds.