The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+88x^60+248x^61+393x^62+452x^63+588x^64+650x^65+658x^66+818x^67+765x^68+694x^69+649x^70+558x^71+455x^72+376x^73+286x^74+170x^75+138x^76+82x^77+52x^78+30x^79+6x^80+10x^81+6x^82+4x^83+7x^84+4x^85+4x^86

The gray image is a code over GF(2) with n=272, k=13 and d=120.
This code was found by Heurico 1.16 in 2.4 seconds.