The generator matrix
1 0 1 1 1 X+2 1 1 0 1 1 0
0 1 X+1 X+2 1 1 0 X+1 1 0 X+1 1
0 0 2 0 0 0 0 0 2 0 2 2
0 0 0 2 0 0 0 0 2 2 0 2
0 0 0 0 2 0 0 2 2 0 0 2
0 0 0 0 0 2 0 2 2 0 2 0
0 0 0 0 0 0 2 2 0 2 2 0
generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+39x^8+96x^9+192x^10+672x^11+48x^12+672x^13+192x^14+96x^15+39x^16+1x^24
The gray image is a code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.00989 seconds.