The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^26+136x^27+426x^28+550x^29+1028x^30+2062x^31+2380x^32+3236x^33+2272x^34+2044x^35+1139x^36+542x^37+280x^38+102x^39+83x^40+24x^41+25x^42+8x^43+3x^44

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 2.01 seconds.