The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+279x^60+408x^61+796x^62+1020x^63+1217x^64+1080x^65+1472x^66+1376x^67+1454x^68+1340x^69+1338x^70+1188x^71+1021x^72+768x^73+682x^74+360x^75+278x^76+116x^77+116x^78+24x^79+33x^80+10x^82+5x^84+2x^86

The gray image is a code over GF(2) with n=272, k=14 and d=120.
This code was found by Heurico 1.16 in 10.3 seconds.