The generator matrix

 1  0  1  1  1 X+2  1  1  1  1  2  X
 0  1  1 X+2 X+3  1  2 X+1  X  3  1  1
 0  0  X  0 X+2  0  X  2  X  2  X X+2
 0  0  0  2  2  2  2  2  2  2  2  2

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+150x^10+220x^12+132x^14+3x^16+6x^18

The gray image is a code over GF(2) with n=48, k=9 and d=20.
This code was found by Heurico 1.16 in 0.0888 seconds.