The generator matrix
1 0 0 1 1 1 2 1 1 0 1
0 1 0 2 1 3 1 0 1 1 2
0 0 1 1 3 2 1 2 1 2 2
generates a code of length 11 over Z4 who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+12x^9+18x^10+12x^11+6x^12+4x^13+6x^14+4x^15+1x^16
The gray image is a code over GF(2) with n=22, k=6 and d=9.
This code was found by Heurico 1.16 in 0.000308 seconds.