The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  1
 0  X  0 X^2+X+2  2 X^2+X  0  X X^2+2 X^2+2 X^2+2  0
 0  0 X^2+2  0  2 X^2+2 X^2+2 X^2 X^2 X^2 X^2+2  0
 0  0  0 X^2+2 X^2+2 X^2 X^2+2  2 X^2 X^2+2  0  0

generates a code of length 12 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+21x^8+126x^9+105x^10+124x^11+1284x^12+152x^13+102x^14+100x^15+20x^16+10x^17+1x^18+2x^20

The gray image is a code over GF(2) with n=96, k=11 and d=32.
This code was found by Heurico 1.16 in -6.48e-008 seconds.