The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1  1  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+13x^2+64x^4+168x^6+778x^8+778x^10+168x^12+64x^14+13x^16+1x^18

The gray image is a code over GF(2) with n=18, k=11 and d=2.
This code was found by Heurico 1.16 in 0.0058 seconds.