The generator matrix

 1  0  1  1  1 3X+2  1  1  1  1  2  1
 0  1 X+1 3X+2 2X+3  1  2 3X X+3 2X+1  1  0
 0  0 2X 2X  0 2X 2X  0  0 2X 2X 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+25x^10+184x^11+90x^12+184x^13+26x^14+1x^16+1x^18

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 -1.01e-007 seconds.