The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^24+406x^26+16x^27+1110x^28+672x^29+2456x^30+2288x^31+6170x^32+6336x^33+5860x^34+2288x^35+2788x^36+672x^37+920x^38+16x^39+482x^40+86x^42+38x^44+1x^64

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 9.9 seconds.