The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+28x^25+95x^26+266x^27+94x^28+24x^29+1x^30+2x^31+1x^52

The gray image is a code over GF(2) with n=216, k=9 and d=100.
This code was found by Heurico 1.16 in 0.0101 seconds.