The generator matrix
1 1 1 1 1 1 1 1 X X X X 2X 1
0 2X+2 0 2X+2 2X 2 2X 2 2X+2 2X+2 0 0 2X 0
0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0
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+5x^12+58x^13+7x^14+44x^15+2x^16+10x^17+1x^18
The gray image is a code over GF(2) with n=112, k=7 and d=48.
This code was found by Heurico 1.16 in -1.01e-007 seconds.