The generator matrix

 1  1  1  1  1  1  X  X  0  2  X  X
 0  X  2 X+2  0  2 X+2  X  X  X  0  2

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+26x^12+4x^14+1x^16

The gray image is a code over GF(2) with n=48, k=5 and d=24.
This code was found by Heurico 1.16 in 0.00037 seconds.