The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^26+342x^27+753x^28+1152x^29+2007x^30+3308x^31+5830x^32+5730x^33+5919x^34+3406x^35+2099x^36+1092x^37+567x^38+272x^39+113x^40+58x^41+33x^42+4x^44+2x^46

The gray image is a code over GF(2) with n=264, k=15 and d=104.
This code was found by Heurico 1.16 in 7.5 seconds.