The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+265x^60+508x^61+774x^62+816x^63+1339x^64+1056x^65+1670x^66+1208x^67+1482x^68+1256x^69+1402x^70+1096x^71+1164x^72+720x^73+650x^74+376x^75+321x^76+108x^77+104x^78+24x^79+32x^80+8x^82+4x^84

The gray image is a code over GF(2) with n=272, k=14 and d=120.
This code was found by Heurico 1.11 in 5.09 seconds.