The generator matrix

 1  0  0  1  1  1 14  1  1  6  1 14  4  1  1  1 10  2  1  1 14  0 10  1  1 12 12  8  6  1 12  1  1
 0  1  0  1  6  7  1 12  6  0 13  1  1  7 11 14  1  1 15  6  6  1  1  3  5  1  6  1  4  0  6  2  0
 0  0  1  1  3  2  3  2  5  1  6  5  2  5  7  5  4  1 12  8  1  5 12 10 13 10  1  8  1 14  1  5  0
 0  0  0 12  0  0  4  4  8  8  4 12  8  4  0  4 12  8 12  0 12  0  0  8  0  4  4  8  4  0  8  4  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  0  0  0
 0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  0  8  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+49x^26+222x^27+811x^28+1952x^29+4303x^30+7784x^31+10878x^32+12780x^33+11955x^34+8028x^35+3947x^36+1720x^37+705x^38+248x^39+97x^40+28x^41+12x^42+6x^43+10x^44

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 15.7 seconds.