The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+332x^30+284x^31+1323x^32+1820x^33+2977x^34+2952x^35+2987x^36+1864x^37+1255x^38+220x^39+287x^40+28x^41+33x^42+9x^44+9x^46+1x^48+2x^50

The gray image is a code over GF(2) with n=280, k=14 and d=120.
This code was found by Heurico 1.16 in 6.71 seconds.