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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+134x^58+336x^60+24x^61+546x^62+172x^63+706x^64+276x^65+910x^66+508x^67+1024x^68+596x^69+884x^70+324x^71+671x^72+124x^73+392x^74+20x^75+262x^76+4x^77+176x^78+61x^80+28x^82+10x^84+2x^86+1x^104

The gray image is a code over GF(2) with n=272, k=13 and d=116.
This code was found by Heurico 1.16 in 4.59 seconds.