The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  4  2  1  0  2 12  1  1  8  2  1  2  0  1  2  2  1
 0  2  0  2  0 10 12 14  4  4  6  6 12  4  2  2 14 14  0  2  2  2  8  4  6 12 12  0  6  6  0  0
 0  0  2  2 12 14  6  4  4  2  6  0  0  2  0  2  4  2  2  2  6 10  4  2  0  6 10  2  2  0 12  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  0  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  8  8  0  0  8  8  8  8  8  0  0  8  0  0  8
 0  0  0  0  0  0  0  8  8  8  0  0  8  0  8  0  8  8  0  8  0  0  0  8  8  0  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+35x^24+132x^25+283x^26+694x^27+906x^28+2434x^29+2871x^30+6470x^31+5168x^32+6474x^33+2768x^34+2450x^35+1014x^36+662x^37+208x^38+114x^39+35x^40+26x^41+13x^42+8x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=256, k=15 and d=96.
This code was found by Heurico 1.16 in 6.66 seconds.