The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  8  1  1  2  0  1  1  2  1  1 12  1  2  1  8  1  2  1  1  1  1
 0  2  0 14  4  6 12  2  0  6  6 14  2  8 12 14  2  4 10  2  2  6  2  6 10 12  2  2 14  4  8  4  8
 0  0 12  4  4  0  0  4  0  0  8  4 12  4  8  4  8 12  0 12  4  0  0  8  0  8  4 12 12 12  4  4  4
 0  0  0  8  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  8  8  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  0  8  0  8  0  0  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  8  0  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+86x^24+208x^26+48x^27+700x^28+480x^29+2588x^30+2512x^31+7671x^32+4160x^33+7612x^34+2512x^35+2796x^36+480x^37+564x^38+48x^39+222x^40+36x^42+40x^44+4x^48

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 7.62 seconds.