The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  2  1  1  2  2  4  0  2  2  1  4  8  1  4  4  1
 0 12  8  4  0 12  8  4 12  0 12  4  8  4  0  8 12  4 12  4  0  4  4  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+2x^26+48x^27+3x^28+8x^29+1x^30+1x^34

The gray image is a code over GF(2) with n=216, k=6 and d=104.
This code was found by Heurico 1.16 in 0.00808 seconds.