The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+174x^62+316x^63+420x^64+414x^65+388x^66+352x^67+375x^68+302x^69+324x^70+228x^71+224x^72+134x^73+136x^74+74x^75+83x^76+58x^77+42x^78+36x^79+5x^80+4x^81+2x^83+4x^84

The gray image is a code over GF(2) with n=272, k=12 and d=124.
This code was found by Heurico 1.16 in 0.622 seconds.