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

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

Homogenous weight enumerator: w(x)=1x^0+66x^56+114x^57+191x^58+258x^59+297x^60+426x^61+491x^62+582x^63+647x^64+690x^65+763x^66+744x^67+688x^68+584x^69+427x^70+310x^71+248x^72+192x^73+127x^74+124x^75+87x^76+36x^77+40x^78+28x^79+14x^80+4x^81+7x^82+2x^83+2x^85+1x^86+1x^94

The gray image is a code over GF(2) with n=264, k=13 and d=112.
This code was found by Heurico 1.16 in 4.49 seconds.