The generator matrix

 1  0  1  1  1 X^2+X  1  1  2  X  X  1
 0  1 X+1 X^2+X+2 X^2+1  1  2 X+1  1  X  2  0
 0  0 X^2 X^2  0  0 X^2  2 X^2 X^2 X^2  0
 0  0  0  2  0  2  0  2  0  0  2  0
 0  0  0  0  2  2  2  0  2  2  2  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+58x^8+52x^9+437x^10+784x^11+1440x^12+776x^13+439x^14+48x^15+53x^16+4x^17+3x^18+1x^22

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.