The generator matrix

 1  0  1  1  1  2  1  1  0  1  X  1
 0  1  1  0  1  1 X+1  2  1 X+1  0 X+3
 0  0  X  0  0  0  0  2  X X+2  2 X+2
 0  0  0  X  0  X  X  2  2  0 X+2  0
 0  0  0  0  X  2  X  X  X 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+153x^8+132x^9+594x^10+592x^11+1053x^12+728x^13+636x^14+80x^15+102x^16+4x^17+18x^18+3x^20

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 0.0787 seconds.