The generator matrix

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

generates a code of length 7 over Z9 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+78x^6+216x^8+358x^9+486x^10+1296x^11+2046x^12+1944x^13+5508x^14+3306x^15+1944x^16+1728x^17+730x^18+42x^21

The gray image is a code over GF(3) with n=21, k=9 and d=6.
This code was found by Heurico 1.16 in 0.0482 seconds.