The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  4  2  1  4  2  2  1
 0 12  0 12  0 12  8  4  0 12  0  0 12 12  4  8  0  8 12 12 12 12 12 12  0
 0  0  8  0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  8  0  0  0
 0  0  0  8  0  0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0
 0  0  0  0  8  0  8  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  0  8  0  8  0  8  0  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+23x^20+24x^21+19x^22+160x^23+26x^24+528x^25+22x^26+160x^27+8x^28+24x^29+20x^30+5x^32+2x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=200, k=10 and d=80.
This code was found by Heurico 1.16 in 0.0153 seconds.