The generator matrix

 1  0  0  0  0  1
 0  1  0  0  0  7
 0  0  1  0  0  5
 0  0  0  1  0  5
 0  0  0  0  1  5

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

Homogenous weight enumerator: w(x)=1x^0+90x^4+390x^6+720x^7+2430x^8+2200x^9+7020x^10+9720x^11+9756x^12+12600x^13+9720x^14+2940x^15+1440x^16+22x^18

The gray image is a code over GF(3) with n=18, k=10 and d=4.
This code was found by Heurico 1.13 in 3.81e-009 seconds.