The generator matrix
1 1 1 1 1 1 1 1 1 1 X 1 1 1
0 2X+2 0 2X+2 0 2X 2X+2 2 0 2X+2 2X+2 2X 0 0
0 0 2X 0 0 2X 0 0 0 2X 2X 0 2X 0
0 0 0 2X 0 0 0 2X 2X 2X 0 2X 2X 0
0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0
generates a code of length 14 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+9x^10+8x^11+18x^12+56x^13+332x^14+56x^15+11x^16+8x^17+10x^18+2x^20+1x^26
The gray image is a code over GF(2) with n=112, k=9 and d=40.
This code was found by Heurico 1.16 in -3.24e-008 seconds.