The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+220x^56+420x^57+860x^58+700x^59+1280x^60+1228x^61+1432x^62+1352x^63+1718x^64+1256x^65+1522x^66+1036x^67+1142x^68+700x^69+684x^70+352x^71+253x^72+108x^73+58x^74+16x^75+17x^76+16x^78+8x^80+4x^82+1x^84

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.