The generator matrix

 1  0  1  1  1 14  1  0  1 14  1  1  1  1  1  6  1 12  1  8  1  1  8  1  4
 0  1 11  6  1  1  8  1  3  1  6  5  5  6 12  1 11  1  8  1 13  7  0 12  1
 0  0 12  0  0  0  0  0  8  8  0 12 12  4 12  4 12  8  4  8  4  0  4  0  8
 0  0  0 12  0  0  8  4  8  4 12  8  4 12  8  8 12  4  4 12 12  4 12  8 12
 0  0  0  0  4 12 12 12  8  0 12 12  8  8  4 12  4  4 12  0  4  8  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+178x^20+264x^21+942x^22+1908x^23+2997x^24+3824x^25+2982x^26+1960x^27+913x^28+232x^29+130x^30+4x^31+38x^32+10x^34+1x^36

The gray image is a code over GF(2) with n=200, k=14 and d=80.
This code was found by Heurico 1.16 in 1.35 seconds.