The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  1 12  1  1  1  1  1  2  1  1  0  2  1  1  2  2  1
 0  2 12  6  0  6 12 10  0  6  6  2 12 10 10  0  2  6 10 12  6  0  6 10 12  2  6  6  0  4  0  0
 0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  8  0  8  8  0  8  8  0  8  0  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  8  8  0  8  0  0  8  8  0  8  0  8  8  0  0  0  8  8  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  8  8  0  8  0  0  8  0  8  0  8  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+34x^24+22x^25+78x^26+74x^27+279x^28+358x^29+802x^30+1834x^31+1227x^32+1874x^33+804x^34+366x^35+218x^36+50x^37+92x^38+30x^39+26x^40+14x^42+7x^44+2x^46

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 0.497 seconds.