The generator matrix

 1  0  0  0  1  1  1  X  1  X  0  1
 0  1  0  0  0  1 X+3  1 X+2  1  1 X+2
 0  0  1  0  1 X+1  X  1  0  0  1 X+2
 0  0  0  1  1  X X+1 X+1 X+1  1  1  X
 0  0  0  0  2  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  2  2  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+64x^7+281x^8+864x^9+1790x^10+3424x^11+3517x^12+3424x^13+1844x^14+864x^15+230x^16+64x^17+14x^18+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 0.505 seconds.