The generator matrix

 1  0  0  1  1  1 10  1 12  1  1  1 12  0
 0  1  0  1  2  7  1  2  4 13 15 10  1  1
 0  0  1  1  1  2  3  3  1  6 11  6  7  2
 0  0  0  2  0  8 14 10 10  2 12 14  2 10
 0  0  0  0  8  0  8  0  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+370x^10+1488x^11+6154x^12+13296x^13+22782x^14+13520x^15+6183x^16+1360x^17+334x^18+32x^19+14x^20+2x^22

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 4.65 seconds.