The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+129x^16+260x^18+996x^20+2280x^22+3072x^23+4578x^24+10240x^25+4304x^26+3072x^27+2605x^28+792x^30+360x^32+44x^34+30x^36+4x^40+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 4.78 seconds.