The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+181x^56+104x^57+436x^58+324x^59+670x^60+500x^61+895x^62+592x^63+934x^64+664x^65+825x^66+452x^67+598x^68+324x^69+303x^70+104x^71+137x^72+8x^73+75x^74+31x^76+22x^78+6x^80+4x^82+1x^84+1x^88

The gray image is a code over GF(2) with n=256, k=13 and d=112.
This code was found by Heurico 1.16 in 3.11 seconds.