The generator matrix

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

generates a code of length 12 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+45x^8+98x^10+741x^12+92x^14+42x^16+2x^18+3x^20

The gray image is a code over GF(2) with n=96, k=10 and d=32.
This code was found by Heurico 1.16 in -1.01e-007 seconds.