The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+114x^31+156x^32+230x^33+388x^34+372x^35+313x^36+198x^37+139x^38+84x^39+23x^40+18x^41+4x^43+3x^44+2x^45+2x^47+1x^54

The gray image is a code over GF(2) with n=280, k=11 and d=124.
This code was found by Heurico 1.16 in 0.0719 seconds.