The generator matrix

 1  0  1  1  1  0  2  1  1
 0  1  1  0  1  1  0  0  0
 0  0  2  0  0  0  2  0  0
 0  0  0  2  0  0  2  0  0
 0  0  0  0  2  0  2  0  0
 0  0  0  0  0  2  2  0  0

generates a code of length 9 over Z4 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+23x^4+32x^6+77x^8+56x^10+53x^12+8x^14+6x^16

The gray image is a code over GF(2) with n=18, k=8 and d=4.
This code was found by Heurico 1.16 in 0.000395 seconds.