The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+185x^20+32x^21+84x^22+384x^23+820x^24+1216x^25+612x^26+384x^27+234x^28+32x^29+60x^30+35x^32+12x^34+5x^36

The gray image is a code over GF(2) with n=200, k=12 and d=80.
This code was found by Heurico 1.16 in 18.1 seconds.