The generator matrix

 1  0  0  0  1  1  1 10 12  1  1  1  1  1
 0  1  0  0  4  9 13  1  1 14 10 11  0  8
 0  0  1  0  5  1  4  3 11  6  3  7  7  0
 0  0  0  1  1  4  5  5 10  5  8 15 14  4

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

Homogenous weight enumerator: w(x)=1x^0+344x^10+1628x^11+5526x^12+14922x^13+20560x^14+15208x^15+5439x^16+1508x^17+376x^18+12x^19+10x^20+2x^21

The gray image is a code over GF(2) with n=112, k=16 and d=40.
This code was found by Heurico 1.16 in 5.23 seconds.