The generator matrix

 1  0  1  1  1  2  1  1  2  1  1  0
 0  1  1  0 X+1  1 X+1  0  1 X+3  X  1
 0  0  X  0  0  2  X X+2  X  0 X+2  X
 0  0  0  X  0 X+2  X  X  2 X+2  2  X
 0  0  0  0  2  0  0  2  2  2  2  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+63x^8+64x^9+224x^10+448x^11+448x^12+448x^13+224x^14+64x^15+63x^16+1x^24

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 0.0154 seconds.