The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  0
 0  1  1  0 X+1  1  0 X+3  1  2  X  X
 0  0  X  0  0  X  X  2  X X+2  0  X
 0  0  0  X  0  X  X X+2  2  0  X X+2
 0  0  0  0  2  0  2  2  2  0  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 8.

Homogenous weight enumerator: w(x)=1x^0+163x^8+80x^9+624x^10+688x^11+984x^12+688x^13+624x^14+80x^15+163x^16+1x^24

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 0.0506 seconds.