The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+175x^28+468x^29+1201x^30+1876x^31+2882x^32+3256x^33+2900x^34+1912x^35+1023x^36+372x^37+230x^38+52x^39+29x^40+4x^42+2x^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 1.4 seconds.