The generator matrix

 1  0  1  1  1  1  1
 0  1  1  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  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+18x^4+84x^6+180x^7+280x^9+720x^10+3476x^12+1440x^13+4374x^14+6504x^15+1440x^16+448x^18+576x^19+128x^21

The gray image is a code over GF(3) with n=21, k=9 and d=3.
This code was found by Heurico 1.16 in 0.0404 seconds.