The generator matrix
1 1 1 1 X 1 1 1 1 1 1 1
0 2X+2 0 2X+2 2X+2 0 2X+2 0 2X 2X 0 0
0 0 2X 0 0 2X 0 2X 2X 0 0 0
0 0 0 2X 0 2X 2X 2X 0 0 0 0
0 0 0 0 2X 2X 2X 0 2X 0 0 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+22x^8+4x^9+1x^10+60x^11+336x^12+60x^13+7x^14+4x^15+9x^16+7x^18+1x^22
The gray image is a code over GF(2) with n=96, k=9 and d=32.
This code was found by Heurico 1.16 in 3.81e-009 seconds.