The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  2  1  1  2  2  1  1 12  2  1
 0  2  0  2  0 10 12 14  4  4  6  6 10  2  0 10 14  2 14 10  8 12  2  4  0
 0  0  2  2 12 14  6  4  2  4  6  0  6  2  6  0  2 12 10  6 14  8  6  2  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8  8  0  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+25x^18+104x^19+205x^20+394x^21+1043x^22+1780x^23+2551x^24+4094x^25+2597x^26+1888x^27+1045x^28+358x^29+169x^30+68x^31+36x^32+18x^33+6x^34+2x^36

The gray image is a code over GF(2) with n=200, k=14 and d=72.
This code was found by Heurico 1.16 in 1.17 seconds.