The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+27x^24+70x^25+160x^26+314x^27+651x^28+1728x^29+3951x^30+7112x^31+12629x^32+12232x^33+12592x^34+7148x^35+3988x^36+1788x^37+662x^38+264x^39+95x^40+50x^41+40x^42+10x^43+15x^44+4x^45+3x^46+2x^52

The gray image is a code over GF(2) with n=264, k=16 and d=96.
This code was found by Heurico 1.16 in 18.4 seconds.