The generator matrix

 1  1  1  1  1 2X  1  1  1  X 2X+2  0
 0  X  0 X+2 2X+2  X  X  2 3X+2 2X  X  X
 0  0  2 2X+2 2X+2 2X+2  2 2X 2X  2 2X+2  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+52x^10+112x^11+220x^12+64x^13+40x^14+16x^15+3x^16+4x^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 0.016 seconds.