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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+118x^8+128x^9+568x^10+640x^11+1200x^12+640x^13+544x^14+128x^15+121x^16+8x^18

The gray image is a code over GF(2) with n=48, k=12 and d=16.
This code was found by Heurico 1.16 in 0.04 seconds.