The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+235x^24+348x^26+64x^27+1326x^28+640x^29+2986x^30+1984x^31+5339x^32+6912x^33+5208x^34+1984x^35+3305x^36+640x^37+1124x^38+64x^39+463x^40+60x^42+72x^44+2x^46+10x^48+1x^52

The gray image is a code over GF(2) with n=264, k=15 and d=96.
This code was found by Heurico 1.16 in 52.9 seconds.