The generator matrix

 1  0  1  1  1  6  1  1  8 14  1  8  1  6
 0  1 11  6 13  1  8 11  1  1  1  1  3  1
 0  0 12  0  4  8  0  0  4 12 12  8 12  8
 0  0  0 12  0  8  4  4  8  8  8 12  4  0
 0  0  0  0  8  8  8  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+56x^10+184x^11+558x^12+2128x^13+2354x^14+2112x^15+567x^16+176x^17+36x^18+8x^19+10x^20+2x^22

The gray image is a code over GF(2) with n=112, k=13 and d=40.
This code was found by Heurico 1.16 in 5.23 seconds.