The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^61+331x^62+642x^63+609x^64+820x^65+647x^66+766x^67+589x^68+776x^69+578x^70+552x^71+430x^72+390x^73+219x^74+304x^75+121x^76+112x^77+45x^78+22x^79+10x^80+10x^81+4x^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 1.11 in 1.37 seconds.