The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 1 X+2 X 1 X
0 1 1 X+2 X+3 1 2 X+1 1 X 3 0 1 1 X+3 X
0 0 X 0 X+2 0 X 2 X+2 X 0 0 2 X X+2 X
0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2
0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 0
0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0
generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+98x^12+96x^13+316x^14+288x^15+475x^16+288x^17+280x^18+96x^19+94x^20+12x^22+4x^24
The gray image is a code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0285 seconds.