The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1  1 12  1  1  1  1  6  0  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  5  1  6  3  1 12 10 15  9  1  0  3  6  5  1  2  0  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  0  8  8  8  0  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  0  0  8  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  8  8
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  8  0  0  0  0  8  0  0  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+65x^24+8x^25+56x^26+128x^27+393x^28+608x^29+2148x^30+3456x^31+6578x^32+5936x^33+6484x^34+3456x^35+2267x^36+608x^37+268x^38+128x^39+135x^40+8x^41+4x^42+27x^44+5x^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 4.56 seconds.