The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^62+72x^63+259x^64+208x^65+246x^66+108x^67+183x^68+172x^69+175x^70+104x^71+132x^72+64x^73+86x^74+36x^75+54x^76+4x^77+13x^78+6x^80+10x^82+4x^84+1x^92

The gray image is a code over GF(2) with n=272, k=11 and d=124.
This code was found by Heurico 1.16 in 0.302 seconds.