The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+142x^29+766x^30+1124x^31+1244x^32+1800x^33+1274x^34+962x^35+570x^36+158x^37+103x^38+24x^39+9x^40+12x^41+2x^43+1x^46

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 0.287 seconds.