The generator matrix

 1  0  0  1  1  1  2  1  4  1  4  1  1  1
 0  1  0  1  2  7  1  9  2 10  1  2  6  8
 0  0  1  1  5  2  5  7  1  2  6 13 13  0
 0  0  0 12  4  8  4  4  0 12 12  8  0  4

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

Homogenous weight enumerator: w(x)=1x^0+83x^10+388x^11+1604x^12+2980x^13+6211x^14+3076x^15+1627x^16+316x^17+73x^18+24x^19+1x^22

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 0.36 seconds.