The generator matrix

 1  0  1  1  1  4  1  1  1  1 10  8  8  1  1  2 10  1  0  1  8  4  0  6  1
 0  1  1  0 11  1 10  5  6  7  1  1  2  0 15  1  1  1  1  6  1  1  0  1  0
 0  0  2  6  4  6 14  4  4  6  6  4  6  2  6  2  4 14  4  0  6  2  2  4  0
 0  0  0 12  0  4  0 12  4  4  8  0  4 12  0  8 12 12 12  0  4  8  8 12  0
 0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  0  8
 0  0  0  0  0  0  8  0  0  8  0  8  8  8  0  0  0  0  8  8  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+55x^18+152x^19+438x^20+1112x^21+3429x^22+7528x^23+11931x^24+16224x^25+11991x^26+7496x^27+3428x^28+1144x^29+391x^30+120x^31+72x^32+16x^33+6x^34+1x^36+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 11.7 seconds.