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

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

Homogenous weight enumerator: w(x)=1x^0+235x^52+688x^54+1046x^56+1458x^58+160x^59+2280x^60+1056x^61+3808x^62+2880x^63+5459x^64+2880x^65+3866x^66+1056x^67+2419x^68+160x^69+1484x^70+988x^72+514x^74+226x^76+84x^78+15x^80+2x^82+2x^88+1x^112

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 61.7 seconds.