The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+51x^16+58x^17+235x^18+284x^19+460x^20+686x^21+1619x^22+2790x^23+5818x^24+8690x^25+5810x^26+2862x^27+1669x^28+746x^29+474x^30+194x^31+178x^32+60x^33+51x^34+14x^35+14x^36+3x^38+1x^44

The gray image is a code over GF(2) with n=200, k=15 and d=64.
This code was found by Heurico 1.16 in 5.48 seconds.