The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1  1 10  1  1  1 12  6 10  1  1 12  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12 10  9  1  0  9 15  1  1  1  6  3  2  3 15
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  0  8  0  8  8  0  8  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  8  0  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  0  0  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+157x^28+96x^29+588x^30+1024x^31+1311x^32+1856x^33+1304x^34+1024x^35+605x^36+96x^37+92x^38+30x^40+5x^44+2x^48+1x^52

The gray image is a code over GF(2) with n=264, k=13 and d=112.
This code was found by Heurico 1.16 in 2.63 seconds.