The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  2
 0  2 12  6  0  6 12 10  0  6 12 10  0  6  8 14 12  6 10  4  0  4  8  6  6
 0  0  8  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  0  8  8  8  8  0  0
 0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  0  0  8  8  0  8  8  8
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  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+48x^23+102x^24+544x^25+104x^26+48x^27+55x^28+24x^30+1x^32+1x^44

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 8.73 seconds.