The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+167x^56+104x^57+492x^58+320x^59+721x^60+460x^61+832x^62+640x^63+869x^64+668x^65+782x^66+480x^67+650x^68+292x^69+296x^70+96x^71+173x^72+12x^73+76x^74+35x^76+16x^78+6x^80+2x^82+2x^84

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 3.4 seconds.