The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  1  0  1  6  1  1  1  6  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  0  3  1  5  1 10  9  3  1  1  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  0  0  8  8  0  0  8  0  0  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  8  0  8  8  0

generates a code of length 25 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+24x^20+76x^21+159x^22+544x^23+844x^24+808x^25+846x^26+544x^27+152x^28+76x^29+8x^30+3x^32+10x^34+1x^38

The gray image is a code over GF(2) with n=200, k=12 and d=80.
This code was found by Heurico 1.16 in 0.0636 seconds.