The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+37x^6+64x^7+238x^8+896x^9+1624x^10+3136x^11+4388x^12+3136x^13+1634x^14+896x^15+233x^16+64x^17+32x^18+4x^20+1x^22

The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 0.232 seconds.