The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  1  8  1 10  1 14  8  1  2  2  2  1
 0  1 11  6  1  1  0  3  1  5  1  6 13  0  1  5  1  0  1  1 11  4  8  0 13
 0  0 12  0  0  0 12  0  4 12 12  4 12  4  8  0  0  8  8 12  8  4  4  4  0
 0  0  0 12  0  0  0  0  0  0  0  8  0 12 12  4  4 12  4  8  8  8  4 12  4
 0  0  0  0  4  4  0  8 12  4  0 12  0  8  0  4 12  4  8  0 12  8 12  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  0  0  0  8  8  8  0  8
 0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  8  8  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+152x^18+64x^19+790x^20+840x^21+3506x^22+6680x^23+12922x^24+15568x^25+12976x^26+6640x^27+3622x^28+872x^29+685x^30+56x^31+133x^32+24x^34+4x^36+1x^46

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 12.9 seconds.