The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+221x^58+728x^59+1245x^60+1850x^61+2298x^62+3298x^63+3886x^64+4958x^65+5134x^66+5882x^67+5907x^68+6344x^69+5481x^70+5214x^71+4095x^72+3070x^73+2186x^74+1640x^75+906x^76+586x^77+275x^78+150x^79+82x^80+50x^81+19x^82+14x^83+6x^84+4x^85+2x^86+2x^87+2x^89

The gray image is a code over GF(2) with n=272, k=16 and d=116.
This code was found by Heurico 1.11 in 59.2 seconds.