The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^20+376x^21+1060x^22+1810x^23+2767x^24+4364x^25+2770x^26+1782x^27+931x^28+344x^29+104x^30+22x^31+8x^32+4x^33+2x^34+2x^35

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 0.698 seconds.