The generator matrix

 1  0  1  1  1  6  1  1  4  1  1  2  1  1  0  1  1  6  1  1  4  1  1  2  1  1  1  1  1  1  1  1  0  6  4  2  2  2  2  2  0  4  1  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1  4  7  1  2  1  1  0  3  1  6  5  1  4  7  1  2  1  1  0  3  6  5  4  2  7  1  1  1  1  1  0  6  4  2  2  2  0  4  6  2  3  7  5  1  0  4

generates a code of length 52 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+50x^52+8x^54+3x^56+1x^60+1x^68

The gray image is a code over GF(2) with n=208, k=6 and d=104.
This code was found by Heurico 1.16 in 0.0297 seconds.