The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  4  1  1  1  1  1 12  1  1
 0  2  0  2  0  8  6  4  6  4 10  0  4 10 14  0  2  6  6  6  4 12  2 12 12
 0  0  2  2 12 14  6 12  8  2  6  0  2 14  4 10 10  4  0 12  8  0  6  0 10
 0  0  0  8  0  0  0  8  8  8  0  8  0  0  8  8  0  8  0  8  8  8  8  0  0
 0  0  0  0  8  8  0  0  8  0  8  8  0  0  8  8  8  0  8  8  0  8  0  8  0

generates a code of length 25 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+164x^21+114x^22+652x^23+393x^24+1484x^25+454x^26+600x^27+16x^28+140x^29+38x^30+28x^31+5x^32+4x^33+2x^34+1x^40

The gray image is a code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 0.505 seconds.