The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^28+402x^29+606x^30+864x^31+1353x^32+1610x^33+1283x^34+872x^35+546x^36+270x^37+137x^38+56x^39+30x^40+22x^41+5x^42+1x^46

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 0.49 seconds.