The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+270x^29+1736x^30+4410x^31+8640x^32+15558x^33+21722x^34+25774x^35+22539x^36+15890x^37+8546x^38+3960x^39+1471x^40+404x^41+102x^42+30x^43+5x^44+4x^45+6x^46+2x^47+2x^49

The gray image is a code over GF(2) with n=280, k=17 and d=116.
This code was found by Heurico 1.16 in 71.5 seconds.