The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1  6  1  1  4  1  2  2  1  4  2
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1 10  9  1  8 11  1 14 12 10 13  2  1
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  8  0  0  8  0  0  8  8  8  0  8  0

generates a code of length 27 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+303x^26+156x^28+48x^30+3x^32+1x^42

The gray image is a code over GF(2) with n=216, k=9 and d=104.
This code was found by Heurico 1.16 in 84.2 seconds.