The generator matrix

 1  0  1  1  1  2 X^2+X  1  1 X^2+X+2  X  1
 0  1 X+1 X^2+X+2 X^2+1  1  1  2 X^2+X  1  X  3
 0  0 X^2 X^2+2  2 X^2  0 X^2  0 X^2+2 X^2+2  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+92x^10+272x^11+332x^12+224x^13+80x^14+16x^15+3x^16+4x^18

The gray image is a code over GF(2) with n=96, k=10 and d=40.
This code was found by Heurico 1.16 in -3.24e-008 seconds.