The generator matrix

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

generates a code of length 6 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+38x^4+128x^5+180x^6+128x^7+33x^8+4x^10

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 -1.01e-007 seconds.