The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^59+281x^60+506x^61+645x^62+868x^63+1051x^64+1218x^65+1374x^66+1522x^67+1511x^68+1422x^69+1443x^70+1132x^71+1021x^72+822x^73+555x^74+402x^75+194x^76+132x^77+72x^78+38x^79+31x^80+24x^81+7x^82+8x^83+6x^84+4x^85+2x^87

The gray image is a code over GF(2) with n=272, k=14 and d=118.
This code was found by Heurico 1.16 in 10.5 seconds.