The generator matrix

 1  0  0  1  1  1  2 14  1  1  1 12  1 14 14  1  1  1  0  4  1  8  1  1  6 14  1  1  1 14  1 10  1
 0  1  0  2  9  7  1  6  9 11  0  1  4  1  1 10  3  5  1  4 13  1 14 14  1  1  0 15  2  1 12  1  4
 0  0  1  1  1  2  5  1 15  0  3 11  6  6  4  8  3  2  1  1 13 12  7  8  5  7 12 14  1 12  1 14  0
 0  0  0  4 12  8  4 12  0 12  8  0 12  4  0  8  0 12  4  8  0 12  8  4  8  8  4  4  8  4  8  4  4

generates a code of length 33 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+63x^28+448x^29+1298x^30+2090x^31+2867x^32+2978x^33+2970x^34+1916x^35+1088x^36+452x^37+139x^38+42x^39+16x^40+10x^41+5x^44+1x^46

The gray image is a code over GF(2) with n=264, k=14 and d=112.
This code was found by Heurico 1.16 in 1.2 seconds.