The generator matrix
1 0 1 1 1 X+2 1 1 X X 1
0 1 1 X+2 X+3 1 2 X 2 0 0
0 0 X 0 X+2 2 X X+2 X X+2 0
0 0 0 2 2 2 0 0 2 0 0
generates a code of length 11 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+53x^8+52x^9+141x^10+28x^11+134x^12+44x^13+50x^14+4x^15+4x^16+1x^18
The gray image is a code over GF(2) with n=44, k=9 and d=16.
This code was found by Heurico 1.16 in 0.00164 seconds.