The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+171x^26+220x^27+974x^28+1468x^29+4846x^30+6284x^31+13365x^32+10620x^33+13743x^34+6388x^35+4681x^36+1460x^37+909x^38+164x^39+173x^40+20x^41+42x^42+5x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=264, k=16 and d=104.
This code was found by Heurico 1.16 in 84.9 seconds.