The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+226x^59+596x^60+886x^61+1549x^62+1666x^63+2118x^64+2552x^65+2738x^66+2662x^67+2948x^68+2734x^69+2841x^70+2438x^71+2143x^72+1552x^73+1216x^74+780x^75+514x^76+280x^77+192x^78+80x^79+32x^80+12x^81+8x^82+4x^83

The gray image is a code over GF(2) with n=272, k=15 and d=118.
This code was found by Heurico 1.16 in 34.3 seconds.