The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^24+8x^25+204x^26+144x^27+729x^28+1408x^29+3056x^30+10608x^31+7165x^32+18672x^33+7080x^34+10608x^35+3239x^36+1408x^37+624x^38+144x^39+238x^40+8x^41+44x^42+31x^44+6x^48+1x^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 17.7 seconds.