The generator matrix

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

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+60x^7+153x^8+338x^9+894x^10+1638x^11+1981x^12+1668x^13+948x^14+344x^15+102x^16+42x^17+14x^18+6x^19+3x^20

The gray image is a code over GF(2) with n=48, k=13 and d=14.
This code was found by Heurico 1.16 in 0.318 seconds.