The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+155x^10+184x^11+637x^12+1336x^13+3523x^14+1384x^15+682x^16+168x^17+97x^18+23x^20+1x^22+1x^24

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 75.6 seconds.