The generator matrix

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

generates a code of length 9 over Z4 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+9x^2+36x^4+84x^6+126x^8+512x^9+126x^10+84x^12+36x^14+9x^16+1x^18

The gray image is a code over GF(2) with n=18, k=10 and d=2.
This code was found by Heurico 1.16 in 0.00145 seconds.