The generator matrix

 1  0  0  1  1  1  2  1  1  6  1  1  2  6  2  0  1  1  1  1  6  6  1  1  1  4  0  4  1  6  6  1  1  0  1  1  1  0  1  1  1  4  1  1  1  6  0  1  1  6  0  1  0  1  1  1  1  1  1  1  1  2  2  1
 0  1  0  2  1  3  1  4  2  0  1  7  6  1  1  1  6  7  4  1  1  1  2  4  3  1  6  1  7  1  4  3  5  1  7  2  4  1  6  7  0  1  7  7  2  1  1  6  6  1  2  7  1  3  4  4  7  5  6  0  5  0  2  0
 0  0  1  1  3  6  1  2  7  1  1  4  1  3  2  3  0  1  3  0  0  2  2  1  7  1  1  6  2  3  1  2  1  5  5  2  5  6  6  1  4  2  3  0  1  4  5  3  1  5  1  4  3  2  6  6  5  5  4  3  6  1  1  0
 0  0  0  4  0  0  0  4  0  4  0  0  0  4  4  4  4  0  0  4  4  0  4  0  4  0  4  4  0  0  0  4  0  4  4  0  4  4  4  0  0  4  4  0  4  0  0  0  0  0  4  4  4  0  4  0  0  4  0  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  0  4  4  0  4  0  4  0  0  0  0  0  4  0  4  4  0  0  0  0  0  4  4  4  4  0  0  4  0  4  0  0  4  0  4  4  0  4  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  4  4  0  4  4  4  0  0  0  4  0  4  4  0  4  4  4  4  4  0  0  4  0  4  0  0  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  0  4  4  0  0  0  4  4  4  4  4  0  4  0  4  4  0  0  4  4  4  4  0  4  4  0  0  0  0  4  0  0  4  0  4  4  0  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+70x^56+204x^57+288x^58+580x^59+560x^60+784x^61+648x^62+858x^63+622x^64+740x^65+575x^66+648x^67+395x^68+492x^69+227x^70+196x^71+131x^72+80x^73+45x^74+20x^75+9x^76+4x^77+9x^78+2x^79+4x^80

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 2.25 seconds.