The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+195x^32+332x^33+346x^34+384x^35+296x^36+296x^37+152x^38+20x^40+12x^41+12x^42+2x^50

The gray image is a code over GF(2) with n=280, k=11 and d=128.
This code was found by Heurico 1.16 in 0.0877 seconds.