The generator matrix

 1  0  0  1  1  1  1  1  2
 0  1  0  1  0  3  1  0  2
 0  0  1  1  1  0  3  0  2
 0  0  0  2  0  2  0  2  0
 0  0  0  0  2  0  2  2  2

generates a code of length 9 over Z4 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+51x^6+81x^8+70x^10+46x^12+7x^14

The gray image is a code over GF(2) with n=18, k=8 and d=6.
This code was found by Heurico 1.16 in 0.000788 seconds.