The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  8 14

generates a code of length 14 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+88x^13+76x^14+88x^15+1x^16+2x^20

The gray image is a code over GF(2) with n=112, k=8 and d=52.
This code was found by Heurico 1.16 in 0.000815 seconds.