The generator matrix

 1  0  0  0  1  1  1  1 X+2  X  1  0
 0  1  0  0  0  2  3 X+3  1  X X+1  1
 0  0  1  0  1  X  1  3  0  1 X+2  1
 0  0  0  1  1 X+1  X X+3 X+3 X+1  1  1
 0  0  0  0  2  0  0  2  2  0  0  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+202x^8+416x^9+872x^10+1664x^11+1896x^12+1600x^13+976x^14+384x^15+141x^16+32x^17+8x^18

The gray image is a code over GF(2) with n=48, k=13 and d=16.
This code was found by Heurico 1.16 in 0.187 seconds.