The generator matrix

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

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+9x^10+34x^11+173x^12+28x^13+6x^14+2x^15+2x^16+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 6.87e-008 seconds.