The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^2+14x^3+519x^4+364x^5+1365x^6+2002x^7+2145x^8+3432x^9+2145x^10+2002x^11+1365x^12+364x^13+519x^14+14x^15+66x^16+1x^18

The gray image is a code over GF(2) with n=18, k=14 and d=2.
This code was found by Heurico 1.16 in 0.412 seconds.