The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+440x^30+912x^31+2502x^32+3956x^33+5533x^34+6092x^35+5629x^36+4096x^37+2265x^38+768x^39+451x^40+44x^41+47x^42+4x^43+23x^44+3x^46+2x^48

The gray image is a code over GF(2) with n=280, k=15 and d=120.
This code was found by Heurico 1.16 in 19.3 seconds.