The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^27+8x^28+4x^29+2x^30+1x^32

The gray image is a code over GF(2) with n=216, k=5 and d=108.
This code was found by Heurico 1.16 in 0.00668 seconds.