The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2X+2) 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 0.016 seconds.