The generator matrix
1 1 1 1 1 1 1 1 X X 1 X X 1 X X
0 X 0 0 0 X X+2 X 2 0 0 X+2 X 2 X+2 2
0 0 X 0 X X X+2 0 0 X 0 X 0 X 2 0
0 0 0 X X 0 X+2 X X X 2 X X 0 0 X
0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0
0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0
0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 2
0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2
generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+28x^9+84x^10+124x^11+300x^12+608x^13+796x^14+1300x^15+1717x^16+1264x^17+844x^18+612x^19+268x^20+144x^21+68x^22+12x^23+18x^24+4x^25
The gray image is a code over GF(2) with n=64, k=13 and d=18.
This code was found by Heurico 1.16 in 0.31 seconds.