The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+234x^30+532x^31+1219x^32+1992x^33+3018x^34+2712x^35+2774x^36+1912x^37+1168x^38+460x^39+224x^40+64x^41+58x^42+8x^43+6x^44+2x^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 1.57 seconds.