The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  4  4  8  1  2  1  4  4  8  1  1  1  1
 0 12  0  0  0  4 12  4  0  8  4 12  0  8 12  4  8  8  0 12  4 12  0  4  4  0  8  0  4  0  8  0  0
 0  0 12  0  4  4 12  0  0  0  4  8  4  4  0 12  0 12 12  4  4  8  4 12  8  0 12 12  4  0  4  4  0
 0  0  0 12  4  0 12  4  0  4 12  8 12  0  4  8  4 12  8 12  0  0 12  0  4  8 12  0  8 12  4 12  0
 0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  8  0  8  0  0  0  8  0  8  8  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  0  8  0  8  8  8  0  8  8  8  8  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^24+70x^25+144x^26+206x^27+263x^28+578x^29+1125x^30+1844x^31+2529x^32+2796x^33+2504x^34+1848x^35+1143x^36+588x^37+295x^38+188x^39+100x^40+62x^41+24x^42+10x^43+17x^44+2x^45+3x^46+2x^48+1x^52+1x^54

The gray image is a code over GF(2) with n=264, k=14 and d=96.
This code was found by Heurico 1.16 in 2.66 seconds.