The generator matrix
1 0 1 1 1 2X
0 1 X+1 3X+2 X+1 1
0 0 2 0 2 2X
0 0 0 2X+2 2 2X+2
generates a code of length 6 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 3.
Homogenous weight enumerator: w(x)=1x^0+16x^3+151x^4+752x^5+2256x^6+752x^7+151x^8+16x^9+1x^12
The gray image is a code over GF(2) with n=48, k=12 and d=12.
This code was found by Heurico 1.16 in 3.62e-008 seconds.