The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^6+24x^7+54x^8+132x^9+306x^10+216x^11+402x^12+612x^13+216x^14+164x^15+30x^16+8x^18

The gray image is a code over GF(3) with n=18, k=7 and d=6.
This code was found by Heurico 1.13 in 1.05e-007 seconds.