The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  6  1 12  2  1  1  1 10  1  1  1  1  1  1  1  1  4  0 14  1  1 14  4  1
 0  1 11 14  5  1  0  3  1  6 13  1  4  1  1 15 10  1  1  9 12  2 13  3 14  0  7  1  1  1  3  0  1  0  8
 0  0 12  4  0  4 12  0 12  8 12  0 12  0 12  0  8 12  0  8  0  4  4  8 12  8 12 12  8 12  8  0 12  0  4
 0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  8  0  0  0  8  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  0  8  8  0  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  0  8  8  0  0  0  8  0  8  0  8  0  8  8  0  0  0  0  8
 0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  0  8  8  8  8  8  8  8  0  0  0

generates a code of length 35 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+63x^26+92x^27+158x^28+374x^29+429x^30+2152x^31+3060x^32+10388x^33+7579x^34+16988x^35+7537x^36+10368x^37+3042x^38+2212x^39+454x^40+364x^41+130x^42+56x^43+48x^44+10x^45+17x^46+4x^47+5x^48+3x^50+1x^52+1x^58

The gray image is a code over GF(2) with n=280, k=16 and d=104.
This code was found by Heurico 1.16 in 21 seconds.