The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+269x^8+1152x^9+5010x^10+14384x^11+23765x^12+14640x^13+4972x^14+1040x^15+282x^16+16x^17+2x^18+3x^20

The gray image is a code over GF(2) with n=96, k=16 and d=32.
This code was found by Heurico 1.16 in 3.45 seconds.