The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+190x^61+414x^62+488x^63+735x^64+774x^65+705x^66+688x^67+629x^68+714x^69+629x^70+576x^71+488x^72+334x^73+262x^74+194x^75+141x^76+112x^77+63x^78+20x^79+22x^80+4x^81+7x^82+2x^83

The gray image is a code over GF(2) with n=272, k=13 and d=122.
This code was found by Heurico 1.16 in 2.3 seconds.