The generator matrix

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

generates a code of length 64 over Z8 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+92x^55+238x^56+386x^57+686x^58+850x^59+1046x^60+1276x^61+1352x^62+1518x^63+1621x^64+1546x^65+1402x^66+1286x^67+961x^68+746x^69+573x^70+314x^71+195x^72+120x^73+67x^74+32x^75+29x^76+18x^77+15x^78+4x^79+5x^80+4x^81+1x^82

The gray image is a code over GF(2) with n=256, k=14 and d=110.
This code was found by Heurico 1.16 in 9.73 seconds.