The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^26+334x^27+953x^28+1930x^29+4257x^30+7664x^31+10931x^32+12858x^33+11484x^34+7852x^35+4065x^36+1790x^37+870x^38+272x^39+111x^40+62x^41+18x^42+6x^43+2x^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 19.2 seconds.