The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+196x^20+1372x^21+3574x^22+7426x^23+12728x^24+14874x^25+12864x^26+7564x^27+3388x^28+1224x^29+246x^30+50x^31+23x^32+2x^33+4x^34

The gray image is a code over GF(2) with n=200, k=16 and d=80.
This code was found by Heurico 1.16 in 11.6 seconds.