The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  4  1  2  1  1  1  1  2  1  1  4  2  4  1  1  0  1  1  1  2  4  1  4  0  2  2  1  0  0  1  4  1
 0  2  0  0  0  2  6  2  0  0  4  4  2  2  6  2  0  4  2  2  6  0  6  2  4  6  4  4  6  4  4  2  4  4  2  2  2  2  2  2  0  4  2  2  2  6  2  4  4  6  4  2  2  6  2  0  2  6  4  2  2  2  2  2  4  2  2  2
 0  0  2  0  2  2  6  0  0  4  2  2  2  6  4  0  0  0  6  0  4  6  2  4  6  2  2  0  6  0  2  0  6  2  4  4  6  0  6  4  0  4  6  6  0  0  4  6  2  2  6  6  6  4  2  2  2  2  2  4  0  2  0  4  0  6  0  6
 0  0  0  2  2  0  6  2  4  2  2  0  0  2  0  6  4  2  0  4  6  4  2  2  4  2  6  0  0  6  6  6  0  0  0  2  4  4  0  6  4  4  4  4  4  4  6  6  6  2  4  6  2  0  2  4  0  4  2  2  0  2  0  2  2  4  2  0
 0  0  0  0  4  0  0  0  0  0  0  4  4  4  0  0  4  0  0  0  4  4  0  4  4  0  0  4  0  4  4  0  0  0  4  0  4  4  4  4  0  0  0  0  0  4  4  0  4  4  4  0  4  4  4  4  4  4  0  4  4  0  4  0  4  4  0  4
 0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  0  4  4  0  0  0  0  0  4  0  4  0  0  4  0  4  0  4  4  0  4  4  4  0  4  0  0  0  4  4  4  0  4  0  0  4  4  4  0  0  0  0  4  0  0  4  0  4  0  0  4  0  0
 0  0  0  0  0  0  4  4  0  4  4  0  4  4  4  4  4  4  4  4  4  0  0  0  4  4  0  0  4  4  0  0  0  4  0  0  4  0  0  4  0  4  0  0  0  4  0  0  0  0  0  4  0  4  4  0  0  4  4  0  4  4  0  4  0  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+219x^60+8x^61+268x^62+60x^63+464x^64+184x^65+422x^66+276x^67+453x^68+256x^69+426x^70+164x^71+329x^72+56x^73+214x^74+12x^75+149x^76+8x^77+66x^78+37x^80+12x^82+10x^84+1x^88+1x^100

The gray image is a code over GF(2) with n=272, k=12 and d=120.
This code was found by Heurico 1.16 in 17.6 seconds.