The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^60+212x^61+381x^62+488x^63+648x^64+616x^65+731x^66+750x^67+701x^68+808x^69+544x^70+560x^71+497x^72+422x^73+296x^74+162x^75+147x^76+48x^77+47x^78+20x^79+10x^80+6x^81+13x^82+4x^83+6x^84+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 2.46 seconds.