The generator matrix
1 0 0 1 1 1 X 1 1 X+2 1 1
0 1 0 1 X+2 X+3 1 2 3 1 X+3 1
0 0 1 1 X+3 X+2 1 X X+1 X+1 1 1
0 0 0 2 0 0 2 0 0 2 0 2
0 0 0 0 2 0 2 2 0 2 2 2
0 0 0 0 0 2 2 2 2 0 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+118x^8+128x^9+568x^10+640x^11+1200x^12+640x^13+544x^14+128x^15+121x^16+8x^18
The gray image is a code over GF(2) with n=48, k=12 and d=16.
This code was found by Heurico 1.16 in 0.04 seconds.