The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^8+24x^9+23x^10+104x^11+664x^12+104x^13+35x^14+24x^15+13x^16+5x^18+1x^22

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 -3.24e-008 seconds.