The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+124x^62+330x^63+415x^64+426x^65+404x^66+428x^67+372x^68+298x^69+275x^70+190x^71+208x^72+184x^73+115x^74+120x^75+84x^76+42x^77+37x^78+20x^79+8x^80+10x^81+5x^82

The gray image is a code over GF(2) with n=272, k=12 and d=124.
This code was found by Heurico 1.11 in 0.41 seconds.