The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  0 12  1  1  8  2  1  1  2  2  1  2
 0  2  0  6  4 14 12  2  0 10 12  6  6  8 14 14  4  2  0  6  4  2  2 14  4  2  2 10  4 14 14 14 14
 0  0 12  0  4  4  8  4  0  8  0  0  8 12  4 12 12  4  0  4  8  0  8  0  4  4 12  8  0 12  4  8  8
 0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  8  8  8  0  0  8  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  0  0  0  0  8  0  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+92x^29+194x^30+160x^31+452x^32+274x^33+458x^34+154x^35+152x^36+80x^37+14x^38+4x^39+2x^40+2x^41+6x^42+2x^43+1x^48

The gray image is a code over GF(2) with n=264, k=11 and d=116.
This code was found by Heurico 1.16 in 0.0634 seconds.