The generator matrix

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

generates a code of length 66 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+222x^56+656x^57+1140x^58+1684x^59+2420x^60+3232x^61+3963x^62+4768x^63+5524x^64+5980x^65+6077x^66+6194x^67+5709x^68+4900x^69+4117x^70+3134x^71+2379x^72+1492x^73+885x^74+512x^75+233x^76+176x^77+68x^78+24x^79+22x^80+8x^81+6x^82+2x^83+2x^84+4x^85+2x^87

The gray image is a code over GF(2) with n=264, k=16 and d=112.
This code was found by Heurico 1.11 in 57.2 seconds.