The generator matrix
1 1 1 1 X 0 1 1 1 1 X 1
0 X 2X+2 X+2 X+2 X 0 0 2X+2 X+2 X+2 0
0 0 2X 0 0 2X 0 2X 0 2X 0 0
0 0 0 2X 0 2X 2X 2X 0 0 0 0
0 0 0 0 2X 2X 0 0 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+20x^8+12x^9+157x^10+148x^11+348x^12+148x^13+159x^14+12x^15+15x^16+3x^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 0.016 seconds.