The generator matrix
1 0 1 1 1 2 2 2 2
0 1 1 2 3 1 0 2 0
0 0 2 0 2 0 2 2 0
generates a code of length 9 over Z4 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+18x^8+8x^10+4x^12+1x^16
The gray image is a code over GF(2) with n=18, k=5 and d=8.
This code was found by Heurico 1.16 in 0.000179 seconds.