The generator matrix

 1  0  0  1  1  1 X+2 2X  1  1  2  1
 0  1  0  1  X X+3  1  1  X 3X+1  2  0
 0  0  1  1  1  0  3  X X+3 X+2  1  0
 0  0  0  X 2X 3X X+2 X+2 X+2 2X+2 3X+2 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+118x^8+696x^9+2248x^10+7248x^11+12160x^12+7232x^13+2256x^14+688x^15+105x^16+8x^17+8x^18

The gray image is a code over GF(2) with n=96, k=15 and d=32.
This code was found by Heurico 1.16 in 1.02 seconds.