The generator matrix

 1  0  0  1  1  1  6  1  1  1  1 10  1 14  0  1  1 14  1 12  1  1  2  1  1
 0  1  0  1  6  7  1  0 12 11  7  1  7  1  6 10 13  4  1  0 13  6  2  4  0
 0  0  1  1  3  2  3  6  3  7  4  5  1  2  1  6  4  1  2  1  7  3  1  4  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  0  0  8  8  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  0  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  8  0  8  0  0  8  0
 0  0  0  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  8  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^18+84x^19+545x^20+1128x^21+3943x^22+6580x^23+12377x^24+16152x^25+12450x^26+6588x^27+3910x^28+1144x^29+480x^30+60x^31+61x^32+8x^33+4x^34+1x^36+1x^38+1x^40

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 8.9 seconds.