The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  6  2  1
 0  1 11  6 13  1  7  8  1  5 10  1  8  0
 0  0 12  0  4  8 12  4  4  0  0  8  4  0
 0  0  0  8  0  8  8  0  8  0  8  8  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  0

generates a code of length 14 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+52x^10+48x^11+500x^12+840x^13+1210x^14+872x^15+483x^16+24x^17+48x^18+8x^19+8x^20+2x^22

The gray image is a code over GF(2) with n=112, k=12 and d=40.
This code was found by Heurico 1.16 in 0.0244 seconds.