The generator matrix

 1  0  0  0  1  1  1  0  1 X+2  0  1
 0  1  0  0  0  3 X+1  1  1  1  1  0
 0  0  1  0  1  1  X  1  3  0 X+1  0
 0  0  0  1  1  X  1  1 X+2  3  3  2
 0  0  0  0  X  0  0  2 X+2  X X+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+70x^7+309x^8+836x^9+1774x^10+3172x^11+4006x^12+3232x^13+1825x^14+806x^15+260x^16+76x^17+16x^18+1x^22

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 0.597 seconds.