The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+48x^30+256x^31+596x^32+1134x^33+1254x^34+1764x^35+1219x^36+1064x^37+470x^38+214x^39+99x^40+42x^41+18x^42+4x^43+5x^44+2x^46+2x^47

The gray image is a code over GF(2) with n=280, k=13 and d=120.
This code was found by Heurico 1.16 in 0.385 seconds.