The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+142x^26+92x^28+16x^30+3x^32+2x^34

The gray image is a code over GF(2) with n=216, k=8 and d=104.
This code was found by Heurico 1.16 in 0.014 seconds.