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.