The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  1  1  1  1 12  2  0  1  1  1  1  1  1  2  2  1  1  2  1
 0  2 12  6  0  6 12 10  0  6 12  6  2 10 10  6 10  0 12 12  2  6  2  0  4  0  6 10 12  6  6 12  6  6  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  8  8  8  0  0  0  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  8  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  8  8  0  8  8  0  8  0  0  0  8  0  8  8  0  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+32x^26+133x^28+80x^29+328x^30+288x^31+1083x^32+1200x^33+4065x^34+1984x^35+4067x^36+1200x^37+1081x^38+288x^39+304x^40+80x^41+110x^42+39x^44+14x^46+4x^48+1x^50+1x^52+1x^54

The gray image is a code over GF(2) with n=280, k=14 and d=104.
This code was found by Heurico 1.16 in 2.31 seconds.