The generator matrix

1 0 0 0 0 1 1 1 1
0 1 0 0 0 1 0 2 0
0 0 1 0 0 1 2 0 0
0 0 0 1 0 1 3 1 0
0 0 0 0 1 2 1 0 0

generates a code of length 9 over Z4 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+34x^4+24x^5+95x^6+130x^7+127x^8+200x^9+126x^10+140x^11+92x^12+16x^13+35x^14+2x^15+2x^16

The gray image is a code over GF(2) with n=18, k=10 and d=4.
This code was found by Heurico 1.10 in 0.016 seconds.