The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  1
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  4 12  8  8  4  0  0 12
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0  8  8 12  0  0  4  4 12  8
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  0 12 12  8 12  8  0  4  0

generates a code of length 25 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+96x^22+158x^24+512x^25+208x^26+48x^30+1x^48

The gray image is a code over GF(2) with n=200, k=10 and d=88.
This code was found by Heurico 1.16 in 2.89 seconds.