The generator matrix

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

generates a code of length 6 over Z9 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+36x^4+174x^6+288x^7+486x^8+904x^9+2808x^10+1944x^11+4248x^12+5040x^13+1944x^14+1212x^15+576x^16+22x^18

The gray image is a code over GF(3) with n=18, k=9 and d=4.
This code was found by Heurico 1.13 in -6.48e-008 seconds.