The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  1
 0 X^2+2  0 X^2  0  0 X^2 X^2  2  2 X^2 X^2+2
 0  0 X^2+2 X^2  0 X^2+2 X^2+2  0  2 X^2 X^2  0
 0  0  0  2  0  0  2  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  2  2  2
 0  0  0  0  0  2  2  2  2  0  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+50x^8+176x^10+128x^11+1340x^12+128x^13+176x^14+45x^16+4x^20

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 6.87e-008 seconds.