The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^30+254x^31+552x^32+1138x^33+1489x^34+1416x^35+1367x^36+992x^37+497x^38+244x^39+91x^40+46x^41+23x^42+4x^43+5x^44+1x^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 0.392 seconds.