The generator matrix

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

generates a code of length 6 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+10x^2+31x^4+128x^5+684x^6+128x^7+31x^8+10x^10+1x^12

The gray image is a code over GF(2) with n=48, k=10 and d=8.
This code was found by Heurico 1.16 in 1.05e-007 seconds.