The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  1  8  1 12  1  1  1 14  1  1  1  2  4  1  1  1  1 12  2  1
 0  1 11  6 13  1  0  3  1  6  1  5 11  0  1  5  1  1  4 14  1 13 10  9  1  1 12 15  5 14  1  6  3
 0  0 12  0  4  0  0  4  8  0  8  4  0 12 12  8  4  8  0 12  4  0  0  4 12  8 12  0  8  8 12  4  0
 0  0  0 12  0  0 12  4 12  8  4  4  4  4  0  8 12  4 12  0  8  4  8  4  0 12  4  8  0  4  4  4  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  0  0  8  8  8  0  8  8  0  8  0  0  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  0  0  0  8  0  8  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  0  8  0  0  8  8  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+98x^26+68x^27+469x^28+584x^29+1918x^30+4124x^31+5686x^32+6928x^33+5781x^34+3932x^35+1922x^36+680x^37+357x^38+68x^39+109x^40+37x^42+4x^44+1x^46+1x^52

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 5.42 seconds.