The generator matrix

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

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+33x^8+88x^9+66x^10+168x^11+1341x^12+168x^13+60x^14+88x^15+30x^16+2x^18+3x^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.