The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+19x^10+40x^11+135x^12+40x^13+20x^14+1x^22

The gray image is a code over GF(2) with n=96, k=8 and d=40.
This code was found by Heurico 1.16 in 3.81e-009 seconds.