The generator matrix
1 1 1 1 1 1 1 1 X X 2 1
0 X 0 0 0 0 0 2 X+2 X+2 2 X+2
0 0 X 0 0 2 X+2 X X+2 0 X X+2
0 0 0 X 0 X+2 X+2 X 0 2 2 0
0 0 0 0 X X 2 X+2 X+2 0 X+2 X+2
generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+86x^8+200x^9+76x^10+480x^11+144x^12+784x^13+168x^14+32x^15+25x^16+40x^17+12x^18
The gray image is a code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0202 seconds.