The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  4  2  2  1  2  2  2  1  1  2  1  2  1
 0  2  0  0  0  2  6  2 12  0  4 12  2  6 14 10 10  6  0  6  4 10 14 10  0
 0  0  2  0  2  2  2  4  6  2  6  2 12  0 14 14 14  8 12  0  0  2  8  4  0
 0  0  0  2  2  0  2  6 14  4  2  4 14  0 14 12  4  2 14  6 12 14  8  8  8
 0  0  0  0  4  0  0  0  8  8  0  8  0  8 12 12  4 12  4  4  4  0 12 12  8
 0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  0  0  0  0  8  0  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+112x^18+352x^19+853x^20+1760x^21+4060x^22+6862x^23+11825x^24+13704x^25+11870x^26+7062x^27+4202x^28+1664x^29+752x^30+314x^31+110x^32+24x^33+6x^34+2x^35+1x^44

The gray image is a code over GF(2) with n=200, k=16 and d=72.
This code was found by Heurico 1.16 in 17.6 seconds.