The generator matrix

 1  0  1  1  1 10  1 12  1  1  1 12 12  2
 0  1  1  0  3  1 12  1 11  9 14  1  2  8
 0  0  2  0  6 10  2  4  0  4 10 14  6  2
 0  0  0  2  6 12  4 10  4  2 14 14 14  6
 0  0  0  0  8  0  0  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+333x^10+816x^11+3254x^12+6880x^13+10200x^14+6848x^15+3327x^16+800x^17+282x^18+16x^19+10x^20+1x^26

The gray image is a code over GF(2) with n=112, k=15 and d=40.
This code was found by Heurico 1.16 in 1.32 seconds.