The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+714x^30+2544x^31+4488x^32+8104x^33+10450x^34+12640x^35+10725x^36+8564x^37+4466x^38+1984x^39+573x^40+192x^41+62x^42+16x^43+3x^44+4x^45+4x^46+2x^48

The gray image is a code over GF(2) with n=280, k=16 and d=120.
This code was found by Heurico 1.16 in 16.5 seconds.