The generator matrix

 1  0  1  1  1 10  1  1  0  1  2  1 12  1
 0  1  1  0  3  1  8  1  1 10 10  5  1  8
 0  0  2  0 14  8  2 12  6  2  6  6 14  0
 0  0  0  2 14 14 14 14  8  4  8  4 14  4

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

Homogenous weight enumerator: w(x)=1x^0+98x^10+492x^11+1406x^12+3472x^13+5452x^14+3496x^15+1383x^16+464x^17+98x^18+12x^19+10x^20

The gray image is a code over GF(2) with n=112, k=14 and d=40.
This code was found by Heurico 1.16 in 0.48 seconds.