The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+378x^20+1208x^21+3262x^22+8008x^23+11783x^24+15824x^25+12410x^26+8176x^27+3021x^28+1016x^29+324x^30+72x^31+48x^32+2x^34+1x^36+2x^38

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 11.5 seconds.