The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  4  4
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12 10  8 14  4 10  0  6 12  6 10  8 14  0  8 12 12
 0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  0  0
 0  0  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  8  8  8  8  8  0
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  8  8  0  0  8  0

generates a code of length 31 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+149x^28+386x^30+362x^32+76x^34+47x^36+2x^38+1x^56

The gray image is a code over GF(2) with n=248, k=10 and d=112.
This code was found by Heurico 1.16 in 0.0329 seconds.