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.