The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+179x^56+516x^57+557x^58+1168x^59+1046x^60+1436x^61+1256x^62+1570x^63+1174x^64+1588x^65+1218x^66+1396x^67+999x^68+914x^69+478x^70+404x^71+208x^72+174x^73+39x^74+36x^75+7x^76+10x^77+2x^78+2x^79+2x^80+2x^81+2x^82

The gray image is a code over GF(2) with n=256, k=14 and d=112.
This code was found by Heurico 1.16 in 8.73 seconds.