The generator matrix

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

generates a code of length 7 over Z9 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+14x^3+54x^4+138x^6+540x^7+712x^9+3618x^10+6230x^12+10152x^13+13122x^14+11148x^15+10152x^16+1312x^18+1728x^19+128x^21

The gray image is a code over GF(3) with n=21, k=10 and d=3.
This code was found by Heurico 1.16 in 0.274 seconds.