The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+40x^6+224x^7+327x^8+736x^9+1880x^10+2112x^11+5744x^12+2112x^13+1880x^14+736x^15+327x^16+224x^17+40x^18+1x^24

The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 0.443 seconds.