The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+246x^62+136x^63+567x^64+216x^65+638x^66+208x^67+508x^68+176x^69+384x^70+136x^71+329x^72+88x^73+216x^74+32x^75+108x^76+32x^77+42x^78+22x^80+10x^82+1x^88

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 1.52 seconds.