The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+100x^9+298x^10+1026x^11+1274x^12+1012x^13+262x^14+100x^15+21x^16+2x^19

The gray image is a code over GF(2) with n=96, k=12 and d=36.
This code was found by Heurico 1.16 in 0.031 seconds.