The generator matrix

 1  0  0  1  1  1  6  1  2  1 12  4  6  1
 0  1  0  1  6  7  1  6  1  7  1  2  1  0
 0  0  1  1  3  2  3  5  2  4  5  1  3  0
 0  0  0  8  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+88x^10+480x^11+1210x^12+3488x^13+5864x^14+3504x^15+1183x^16+448x^17+96x^18+16x^19+6x^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 0.301 seconds.