The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^25+207x^26+526x^27+1956x^28+3646x^29+7934x^30+11324x^31+14571x^32+10808x^33+8092x^34+3856x^35+1816x^36+480x^37+210x^38+36x^39+20x^40+6x^41+5x^42+2x^43+4x^44+2x^45

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 18.6 seconds.