The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+116x^25+272x^26+710x^27+1954x^28+3336x^29+8101x^30+11118x^31+14139x^32+11278x^33+8288x^34+3440x^35+1706x^36+612x^37+291x^38+86x^39+56x^40+18x^41+7x^42+6x^43+1x^50

The gray image is a code over GF(2) with n=256, k=16 and d=100.
This code was found by Heurico 1.16 in 26.3 seconds.