The generator matrix

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

generates a code of length 12 over Z4[X]/(X^3+2,2X) 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.