The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^30+596x^31+1283x^32+1848x^33+3139x^34+2772x^35+3009x^36+1762x^37+1194x^38+460x^39+114x^40+100x^41+15x^42+12x^43+9x^44+2x^45+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 1.2 seconds.