The generator matrix

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

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+31x^8+192x^9+160x^10+1088x^11+1152x^12+1088x^13+160x^14+192x^15+31x^16+1x^24

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.031 seconds.