The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^26+184x^27+248x^28+546x^29+934x^30+1806x^31+2817x^32+3142x^33+2885x^34+1846x^35+971x^36+462x^37+185x^38+154x^39+53x^40+42x^41+22x^42+10x^43+5x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=264, k=14 and d=104.
This code was found by Heurico 1.16 in 2.4 seconds.