The generator matrix

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

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+60x^10+390x^12+60x^14+1x^24

The gray image is a code over GF(2) with n=96, k=9 and d=40.
This code was found by Heurico 1.16 in 3.62e-008 seconds.