The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+304x^29+582x^30+1228x^31+1223x^32+1692x^33+1254x^34+1032x^35+464x^36+264x^37+42x^38+76x^39+8x^40+12x^41+10x^42

The gray image is a code over GF(2) with n=264, k=13 and d=116.
This code was found by Heurico 1.16 in 25.1 seconds.