The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  0  1  2  4  2  2  2  4  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  1  1  1  1  2  2  1  1  1  1  1
 0  2  0  6  4  6  4  2  0  6  0  6  4  2  4  2  6  2  6  2  0  2  2  0  4  2  2  4  0  4  6  2  6  2  0  4  6  6  0  4  2  2  0  4  0  4  0  4  6  6  2  2  0
 0  0  4  4  4  0  0  4  0  0  4  4  4  4  0  0  0  4  4  0  0  4  0  4  4  0  4  0  4  4  0  0  4  4  0  0  0  4  4  4  4  0  0  0  4  4  0  0  0  4  4  0  0

generates a code of length 53 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+6x^52+44x^53+6x^54+1x^56+2x^57+1x^58+2x^65+1x^66

The gray image is a code over GF(2) with n=212, k=6 and d=104.
This code was found by Heurico 1.16 in 0.0454 seconds.