The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^2+28x^3+1002x^4+728x^5+3094x^6+4004x^7+4004x^8+6864x^9+4004x^10+4004x^11+3094x^12+728x^13+1002x^14+28x^15+91x^16+1x^18

The gray image is a code over GF(2) with n=18, k=15 and d=2.
This code was found by Heurico 1.16 in 0.758 seconds.