The generator matrix

 1  1  1  1  1  1  X  1  X  1  X  1
 0  X  0  0  0  0 X+2  2 X+2  X  0 X+2
 0  0  X  0  0  0  X X+2  2  X  X X+2
 0  0  0  X  0  X  2  X X+2  0  X  2
 0  0  0  0  X  X X+2  0  X  0  2  X
 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+129x^8+146x^9+606x^10+294x^11+1581x^12+324x^13+660x^14+152x^15+78x^16+42x^17+14x^18+6x^19+3x^20

The gray image is a code over GF(2) with n=48, k=12 and d=14.
This code was found by Heurico 1.16 in 0.137 seconds.