The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  1
 0  1  0  1  0 X+3  1  1  3  0  1  1
 0  0  1  1  1  0  1  1 X+2  1  0  2
 0  0  0  X  0  0  0  2  X  2 X+2 X+2
 0  0  0  0  X X+2 X+2  0  X X+2  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+255x^8+232x^9+1198x^10+1280x^11+2175x^12+1360x^13+1300x^14+192x^15+160x^16+8x^17+30x^18+1x^20

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 2.33 seconds.