The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^20+408x^21+1158x^22+1236x^23+3704x^24+3190x^25+3734x^26+1146x^27+1152x^28+364x^29+98x^30+48x^31+15x^32+6x^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 0.89 seconds.