The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^16+26x^17+119x^18+96x^19+226x^20+380x^21+1075x^22+1436x^23+2633x^24+4304x^25+2650x^26+1452x^27+1096x^28+388x^29+218x^30+84x^31+98x^32+22x^33+31x^34+4x^35+6x^36+3x^38+3x^40

The gray image is a code over GF(2) with n=200, k=14 and d=64.
This code was found by Heurico 1.16 in 1.36 seconds.