The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^2+15x^4+468x^6+15x^8+6x^10+1x^12

The gray image is a code over GF(2) with n=48, k=9 and d=8.
This code was found by Heurico 1.16 in -6.48e-008 seconds.