The generator matrix

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

generates a code of length 64 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+223x^56+468x^57+824x^58+816x^59+1115x^60+1164x^61+1492x^62+1388x^63+1542x^64+1504x^65+1422x^66+1124x^67+1109x^68+748x^69+612x^70+324x^71+238x^72+116x^73+86x^74+28x^75+24x^76+12x^78+4x^80

The gray image is a code over GF(2) with n=256, k=14 and d=112.
This code was found by Heurico 1.11 in 4.06 seconds.