The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^4+48x^5+108x^6+48x^7+21x^8+4x^10

The gray image is a code over GF(2) with n=24, k=8 and d=8.
This code was found by Heurico 1.16 in 0.000192 seconds.