The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^28+224x^29+214x^30+580x^31+549x^32+960x^33+522x^34+600x^35+188x^36+184x^37+24x^38+4x^39+6x^40+2x^42+8x^45+6x^46

The gray image is a code over GF(2) with n=264, k=12 and d=112.
This code was found by Heurico 1.16 in 0.109 seconds.