The generator matrix
1 0 1 1 1 6 1 1 4 1 1 2 1 1 1 1 1 1 1 1 0 6 4 2 1 1 1
0 1 3 6 5 1 4 7 1 2 1 1 0 3 6 5 4 2 7 1 1 1 1 1 0 6 4
generates a code of length 27 over Z8 who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+6x^26+48x^27+6x^28+1x^32+2x^38
The gray image is a code over GF(2) with n=108, k=6 and d=52.
This code was found by Heurico 1.16 in 0.00211 seconds.