The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  2  4  1  2
 0 12  0  4  0  8 12 12  0  8  4 12  0  4  8  4  4  8  0  4  4 12  0  8  0
 0  0 12  4  0  4  4  8  0  4  4  0  8  0  8  0 12 12 12  8  8  0 12  4 12
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  0  8  8  0  0  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+114x^22+279x^24+256x^25+296x^26+36x^28+34x^30+3x^32+4x^34+1x^40

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 29 seconds.