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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+62x^61+113x^62+84x^63+168x^64+78x^65+343x^66+64x^67+342x^68+54x^69+335x^70+54x^71+108x^72+38x^73+75x^74+30x^75+18x^76+20x^77+20x^78+14x^79+2x^80+4x^81+10x^82+10x^83+1x^112

The gray image is a code over GF(2) with n=272, k=11 and d=122.
This code was found by Heurico 1.16 in 52.3 seconds.