The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+230x^28+392x^29+1332x^30+1584x^31+3361x^32+2736x^33+3300x^34+1568x^35+1226x^36+328x^37+220x^38+48x^39+38x^40+12x^42+8x^44

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 1.39 seconds.