The generator matrix

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

generates a code of length 35 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+176x^29+753x^30+2254x^31+4341x^32+7416x^33+11351x^34+12770x^35+11624x^36+7704x^37+4209x^38+1874x^39+654x^40+280x^41+85x^42+30x^43+4x^44+8x^45+2x^46

The gray image is a code over GF(2) with n=280, k=16 and d=116.
This code was found by Heurico 1.16 in 17.5 seconds.