The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+204x^57+784x^58+1426x^59+2254x^60+3262x^61+4803x^62+5838x^63+7991x^64+9118x^65+11244x^66+11888x^67+13020x^68+11608x^69+11780x^70+9704x^71+8280x^72+5888x^73+4598x^74+2962x^75+1972x^76+1178x^77+617x^78+290x^79+198x^80+94x^81+30x^82+20x^83+10x^84+8x^85+2x^88

The gray image is a code over GF(2) with n=272, k=17 and d=114.
This code was found by Heurico 1.11 in 235 seconds.