The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^30+626x^31+1194x^32+2056x^33+2608x^34+3442x^35+2579x^36+1976x^37+1066x^38+494x^39+129x^40+96x^41+24x^42+14x^43+1x^44+1x^46

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 1.3 seconds.