The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+72x^20+72x^22+256x^23+130x^24+1024x^25+80x^26+256x^27+100x^28+40x^30+11x^32+4x^36+2x^40

The gray image is a code over GF(2) with n=200, k=11 and d=80.
This code was found by Heurico 1.16 in 0.0567 seconds.