The generator matrix
1 1 1 1 1 1 1 1 1 X 1 1
0 2X+2 0 2 0 2X 2X+2 2X+2 0 2X 0 0
0 0 2X+2 2 0 2 2 2X 0 2 2X+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+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 -6.48e-008 seconds.