The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+154x^26+272x^27+989x^28+1624x^29+4124x^30+7264x^31+11737x^32+13300x^33+11400x^34+7504x^35+4372x^36+1556x^37+792x^38+192x^39+174x^40+28x^41+38x^42+7x^44+4x^45+4x^46

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 20.1 seconds.