The generator matrix

 1  0  1  1  1 14  1  1  6  1  8  1  1  1 12  2  1  1 10  0  1  1  1  4  1  1  6  1  1  1  1  1
 0  1 11 14  5  1  0  3  1  6  1  9 13  4  1  1  7 10  1  1  2 15  5  1 11 14  1 11 13 13  0  0
 0  0 12  4  0  4 12  0  8  8 12  0  4  4  0  4  4  8  0  0 12  0  0 12 12 12  8 12  4 12  0  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8  0  8  8  8  0  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  0  8  8  0  0  8  0  8  8  8  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+49x^24+4x^25+216x^26+188x^27+937x^28+1588x^29+4406x^30+5388x^31+7257x^32+5388x^33+4380x^34+1588x^35+910x^36+188x^37+200x^38+4x^39+53x^40+12x^42+9x^44+2x^46

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 4.8 seconds.