The generator matrix
1 0 1 1 1 6 1 1 1 1 4 2 1 1 1 1
0 1 3 6 5 1 4 7 2 1 1 1 0 4 6 2
generates a code of length 16 over Z8 who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+61x^16+2x^24
The gray image is a code over GF(2) with n=64, k=6 and d=32.
This code was found by Heurico 1.16 in 0.000664 seconds.