The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  6  1  1 12  1  1 10  0  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  1  3  6  1 10 12  1  1  0  3  3
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  8  0  8  8  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  8  8  8
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  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+89x^20+64x^21+324x^22+1088x^23+1524x^24+2048x^25+1480x^26+1088x^27+348x^28+64x^29+52x^30+17x^32+3x^36+2x^40

The gray image is a code over GF(2) with n=200, k=13 and d=80.
This code was found by Heurico 1.16 in 0.307 seconds.