The generator matrix

 1  1  1  1  X  0  1  1  X  0  X  X
 0  X 2X+2 X+2 X+2  X  0 X+2 3X  X X+2  0
 0  0 2X  0  0  0  0 2X 2X 2X  0  0
 0  0  0 2X  0  0 2X 2X 2X 2X 2X  0
 0  0  0  0 2X  0 2X  0 2X 2X  0  0
 0  0  0  0  0 2X 2X 2X 2X  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+36x^8+48x^9+234x^10+304x^11+796x^12+272x^13+308x^14+16x^15+31x^16+2x^18

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 1.05e-007 seconds.