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  1  2  1  1  1  2  2  1  1  2  1  1  2  1  1  2  1  1  1  0  2  1  1  2  1  1  1  2  2  2  4  1  2  2  1
 0  2  0  0  0  2  6  2  4  0  4  4  2  2  6  2  0  4  0  6  2  4  2  6  0  2  4  6  0  0  6  2  2  6  4  6  2  4  4  6  0  6  0  0  0  4  0  0  2  2  6  0  4  4  4  2  2  4  0  2  6  6  2  2  2  2  0  0
 0  0  2  0  2  2  2  4  6  2  4  0  6  0  2  4  0  2  6  6  4  0  0  2  2  6  0  4  4  2  0  6  2  2  2  0  6  2  6  6  0  6  4  0  4  2  2  0  4  2  0  6  4  6  6  0  6  4  0  6  6  6  4  4  6  4  6  0
 0  0  0  2  2  0  2  6  2  4  0  2  4  0  2  6  4  4  6  6  0  2  6  0  4  2  6  4  0  2  2  0  0  0  4  0  2  6  2  2  4  4  2  6  6  4  0  0  2  2  6  6  2  6  4  0  4  6  6  0  6  0  6  2  6  2  4  0
 0  0  0  0  4  0  0  0  0  0  4  4  0  4  4  0  4  4  0  4  0  4  4  4  4  0  0  4  0  4  4  4  4  0  4  0  0  0  0  4  0  0  4  0  0  4  4  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0  0  4  0  4  4  0
 0  0  0  0  0  4  4  0  4  4  0  4  0  0  4  4  4  4  0  0  4  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  0  4  0  0  4  4  4  0  4  4  4  0  4  4  0  4  0  4  0  0  4  0  0  4  4  4  0  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+38x^60+52x^61+83x^62+128x^63+122x^64+174x^65+174x^66+206x^67+231x^68+172x^69+177x^70+120x^71+75x^72+84x^73+54x^74+40x^75+29x^76+24x^77+16x^78+16x^79+14x^80+6x^81+7x^82+2x^83+2x^84+1x^106

The gray image is a code over GF(2) with n=272, k=11 and d=120.
This code was found by Heurico 1.16 in 0.381 seconds.