The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^60+102x^61+141x^62+284x^63+304x^64+332x^65+389x^66+324x^67+368x^68+358x^69+342x^70+298x^71+262x^72+206x^73+113x^74+100x^75+31x^76+20x^77+29x^78+16x^79+9x^80+6x^81+8x^82+2x^84+2x^87+1x^90+1x^92+1x^98

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 0.862 seconds.