The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+46x^18+84x^19+173x^20+272x^21+587x^22+708x^23+1232x^24+1968x^25+1264x^26+700x^27+598x^28+304x^29+138x^30+44x^31+39x^32+16x^33+10x^34+5x^36+3x^38

The gray image is a code over GF(2) with n=200, k=13 and d=72.
This code was found by Heurico 1.16 in 0.568 seconds.