The generator matrix
1 1 1 1 1 X 1 1 1 1 1 1
0 2X+2 0 2 0 2X 2 0 2X+2 2X 2X+2 2X
0 0 2X+2 2 2X 2 2X+2 2 2X 2X 2X+2 2
generates a code of length 12 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+9x^10+34x^11+173x^12+28x^13+6x^14+2x^15+2x^16+1x^22
The gray image is a code over GF(2) with n=96, k=8 and d=40.
This code was found by Heurico 1.16 in 3.62e-008 seconds.