The generator matrix
1 0 1 1 1 0 1 1 X 1 1 0
0 1 1 0 X+1 1 X X+3 1 2 X+3 1
0 0 X X+2 0 X+2 X X X+2 X+2 X 0
0 0 0 2 0 0 2 0 0 2 2 0
0 0 0 0 2 0 2 2 2 0 0 0
0 0 0 0 0 2 2 0 2 2 0 0
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+76x^8+96x^9+232x^10+416x^11+406x^12+416x^13+240x^14+96x^15+59x^16+8x^18+2x^20
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 0.0127 seconds.