The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  0  1  1  1  2  8  1  1  2  4  1  1  2  1
 0  2  0  6  4 14 12  2  0  6 10  2 12 14 14 14  2 12  8  2  4 12  8  8  0
 0  0 12  0  4  4  8  4  0  8  8  0  8 12  8  4 12  4  8  4  4  8 12 12  0
 0  0  0  8  0  0  8  0  0  8  0  8  8  0  8  8  8  0  0  0  8  0  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  8  0  0  0  8  8  0  8  0  8  8  8  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+96x^20+64x^21+240x^22+536x^23+583x^24+1104x^25+550x^26+544x^27+221x^28+48x^29+68x^30+8x^31+24x^32+6x^34+3x^36

The gray image is a code over GF(2) with n=200, k=12 and d=80.
This code was found by Heurico 1.16 in 0.111 seconds.