The generator matrix

 1  1  1  1  1  1  1  1  1  X  1  1
 0  X  0  X  0  2  X X+2  0  2  0  0
 0  0  X  X  0  X X+2  2  0  X X+2  0
 0  0  0  2  0  0  2  0  2  0  2  0
 0  0  0  0  2  2  2  2  2  0  2  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+26x^8+24x^9+23x^10+104x^11+152x^12+104x^13+35x^14+24x^15+13x^16+5x^18+1x^22

The gray image is a code over GF(2) with n=48, k=9 and d=16.
This code was found by Heurico 1.16 in 0.00203 seconds.