The generator matrix
1 1 1 1 1 1 1 0 2 1 1 2X 1 X
0 X 0 X 2X 3X 0 X X X+2 2X+2 2 X+2 X+2
0 0 X X 2 X+2 X+2 2X 3X 2 X X X+2 2X
generates a code of length 14 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+161x^12+208x^13+344x^14+160x^15+101x^16+16x^17+32x^18+1x^20
The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.047 seconds.