The generator matrix
1 1 1 1 1 1 1 1 X X 2 1
0 X 0 X 0 2 X+2 3X 2 2 2 0
0 0 X X 2X+2 X X+2 0 X X 2 2X
0 0 0 2X 0 0 2X 0 0 2X 2X 2X
0 0 0 0 2X 2X 2X 2X 0 2X 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+46x^8+172x^9+252x^10+960x^11+1192x^12+1032x^13+256x^14+128x^15+41x^16+12x^17+4x^18
The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.031 seconds.