The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^30+344x^31+631x^32+816x^33+1392x^34+1584x^35+1421x^36+760x^37+522x^38+272x^39+152x^40+56x^41+36x^42+8x^43+18x^44+2x^46+1x^52

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 0.525 seconds.