The generator matrix

 1  0  0  0  1  1  1  2 14  1  1  2  1  1 10  1  1  1 12  6  1  1  1 12 14  6  1 14  1  1  1  1  1
 0  1  0  0  8  1  9  1  1  6  9  1  7  2  6 11 12 11 10  1 15  4 13  1  0  4 12  1  6 12 14 13  1
 0  0  1  0  9  1  8  9  8  3  7  3  6 12  1  4  6 13  1  2  1  6 14 11  1  1  3  0  9  2 10  8 11
 0  0  0  1  1  8  9  9  3  0  7  4  4  3 11  6  2 10 13  7  3 15 13 13  7 14 14  5  5  5 14 11  8

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

Homogenous weight enumerator: w(x)=1x^0+624x^28+2142x^29+4513x^30+7838x^31+11349x^32+12510x^33+11640x^34+7842x^35+4444x^36+1894x^37+505x^38+142x^39+70x^40+14x^41+6x^42+2x^43

The gray image is a code over GF(2) with n=264, k=16 and d=112.
This code was found by Heurico 1.16 in 15.4 seconds.