The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+38x^17+76x^18+142x^19+260x^20+346x^21+723x^22+1622x^23+3039x^24+3840x^25+3019x^26+1718x^27+787x^28+348x^29+193x^30+90x^31+68x^32+34x^33+21x^34+12x^35+5x^36+2x^37

The gray image is a code over GF(2) with n=200, k=14 and d=68.
This code was found by Heurico 1.16 in 1.68 seconds.