The generator matrix

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

generates a code of length 64 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+248x^52+690x^54+996x^56+20x^57+1500x^58+236x^59+2429x^60+1220x^61+3844x^62+2620x^63+5169x^64+2620x^65+3838x^66+1220x^67+2549x^68+236x^69+1412x^70+20x^71+1002x^72+538x^74+268x^76+78x^78+8x^80+4x^82+1x^84+1x^108

The gray image is a code over GF(2) with n=256, k=15 and d=104.
This code was found by Heurico 1.16 in 62.2 seconds.