The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^30+192x^31+587x^32+1088x^33+1284x^34+1792x^35+1250x^36+1088x^37+520x^38+192x^39+66x^40+20x^42+14x^44+8x^46+2x^48

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 0.5 seconds.