The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^56+274x^57+627x^58+874x^59+1392x^60+1624x^61+2042x^62+2272x^63+2895x^64+2608x^65+3342x^66+2784x^67+3010x^68+2324x^69+2102x^70+1460x^71+1233x^72+760x^73+501x^74+266x^75+134x^76+82x^77+24x^78+20x^79+36x^80+6x^81+2x^82+4x^83+2x^85+2x^88

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 34.4 seconds.