The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  4  2  0  2  2  4  2  2  2  1  2  0  2  4  2  1  1  0  2  0  2  1  2
 0  2  0  0  0  0  0  0  0  0  0  6  2  2  6  4  6  4  6  4  2  6  4  2  2  6  4  0  4  2  6  4  4  4  0  6  2  0  6  4  2  4  2  4  2  2  4  4  6  4  2  6  6  6  6  2  4  2  4  4  2  0  4  4  2  0  6
 0  0  2  0  0  0  0  0  0  0  2  0  2  6  2  6  4  6  6  2  6  6  6  2  4  2  6  6  0  0  4  2  0  4  4  0  6  6  0  4  4  6  2  2  4  0  0  4  2  4  6  6  0  6  2  4  2  2  4  2  0  2  4  0  6  4  0
 0  0  0  2  0  0  0  2  6  2  2  6  0  2  0  6  4  0  6  6  4  2  6  4  2  2  4  4  0  2  2  6  4  0  4  4  4  6  0  6  2  0  4  2  2  4  0  0  4  2  2  0  0  2  0  6  0  0  6  6  4  2  2  2  2  6  6
 0  0  0  0  2  0  2  2  2  4  4  0  4  4  4  4  4  2  6  6  2  6  2  2  6  4  6  4  6  2  0  0  6  4  4  2  4  6  4  2  0  0  6  6  0  4  2  6  0  2  2  2  6  4  4  6  4  6  6  0  4  6  6  4  0  4  4
 0  0  0  0  0  2  2  4  6  2  4  4  0  4  2  2  6  2  2  6  0  0  0  2  4  6  4  2  2  6  6  0  2  0  6  2  0  2  6  4  2  6  4  0  0  2  4  4  6  4  4  6  2  4  6  2  4  6  2  6  4  0  6  2  2  4  2
 0  0  0  0  0  0  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  0  4  4  4  4  0  4  4  0  4  0  0  0  0  4  0  0  4  4  0  4  0  0  0  0  0  4  4  0  4  4  0  0  4  4  0  4  4  4  4

generates a code of length 67 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+175x^56+4x^57+548x^58+36x^59+799x^60+236x^61+1140x^62+460x^63+1576x^64+900x^65+1912x^66+884x^67+1993x^68+804x^69+1647x^70+484x^71+1094x^72+232x^73+625x^74+56x^75+419x^76+233x^78+86x^80+38x^82+1x^92+1x^98

The gray image is a code over GF(2) with n=268, k=14 and d=112.
This code was found by Heurico 1.16 in 17.3 seconds.