The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^56+150x^57+283x^58+446x^59+680x^60+882x^61+888x^62+1180x^63+1436x^64+1496x^65+1507x^66+1436x^67+1522x^68+1252x^69+899x^70+750x^71+551x^72+374x^73+212x^74+124x^75+87x^76+58x^77+41x^78+30x^79+14x^80+12x^81+10x^82+2x^83+3x^84

The gray image is a code over GF(2) with n=264, k=14 and d=112.
This code was found by Heurico 1.16 in 12.1 seconds.