The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+98x^24+96x^26+64x^27+318x^28+192x^29+288x^30+1792x^31+2516x^32+1792x^33+288x^34+192x^35+289x^36+64x^37+96x^38+88x^40+16x^44+1x^48+1x^52

The gray image is a code over GF(2) with n=256, k=13 and d=96.
This code was found by Heurico 1.16 in 0.683 seconds.