The generator matrix

 1  1  1  1  1  1  X  1  1  X  X  1
 0  X  0 X^2+X X^2+X+2 X^2 X^2+X+2  0 X^2+2 X^2+X X^2+X  0
 0  0 X^2+2  0 X^2 X^2 X^2  2  0  2  0  0
 0  0  0  2  0  2  2  2  0  0  0  0
 0  0  0  0  2  0  2  0  2  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+44x^8+46x^9+162x^10+276x^11+992x^12+272x^13+168x^14+44x^15+35x^16+2x^17+6x^18

The gray image is a code over GF(2) with n=96, k=11 and d=32.
This code was found by Heurico 1.16 in -3.24e-008 seconds.