The generator matrix

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

generates a code of length 9 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+3x^8+8x^9+2x^10+2x^14

The gray image is a code over GF(2) with n=18, k=4 and d=8.
This code was found by Heurico 1.16 in 0.000125 seconds.