The generator matrix
1 0 1 1 1 3X+2 1 1 2 1 1 3X 1 1 X X
0 1 X+1 3X+2 2X+3 1 2 X+3 1 3X 2X+1 1 0 3X+2 3X+2 0
0 0 2X 0 0 0 0 2X 0 2X 2X 2X 0 0 2X 0
0 0 0 2X 0 0 2X 2X 0 2X 0 2X 0 2X 0 0
0 0 0 0 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 0
0 0 0 0 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0
generates a code of length 16 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+72x^12+96x^13+340x^14+1120x^15+829x^16+1056x^17+488x^18+32x^19+56x^20+4x^22+2x^24
The gray image is a code over GF(2) with n=128, k=12 and d=48.
This code was found by Heurico 1.16 in 0.031 seconds.