The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^56+296x^57+639x^58+866x^59+1353x^60+1576x^61+2153x^62+2184x^63+2814x^64+2744x^65+3339x^66+2716x^67+2876x^68+2506x^69+2296x^70+1380x^71+1122x^72+708x^73+493x^74+270x^75+199x^76+68x^77+35x^78+36x^79+11x^80+4x^81+5x^82+4x^83+2x^85

The gray image is a code over GF(2) with n=264, k=15 and d=112.
This code was found by Heurico 1.16 in 34.2 seconds.