The generator matrix

1 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 1
0 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

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

Homogenous weight enumerator: w(x)=1x^0+72x^2+1548x^4+9240x^6+21942x^8+21816x^10+9324x^12+1512x^14+81x^16

The gray image is a code over GF(2) with n=18, k=16 and d=2.
This code was found by Heurico 1.10 in 0.00843 seconds.