The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  2 X+2
 0  1  0  1  0 X+3  1  0  X  2  0  1
 0  0  1  1  1  0  1  0  1  1  1  X
 0  0  0  X  0 X+2  2  X  0 X+2  0 X+2
 0  0  0  0  X  0  2 X+2  0 X+2 X+2  2
 0  0  0  0  0  2  2  0  2  0  2  0

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+80x^7+305x^8+790x^9+1822x^10+3214x^11+3917x^12+3244x^13+1876x^14+796x^15+254x^16+62x^17+14x^18+6x^19+3x^20

The gray image is a code over GF(2) with n=48, k=14 and d=14.
This code was found by Heurico 1.16 in 0.567 seconds.