The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^58+308x^59+580x^60+932x^61+1252x^62+1796x^63+1899x^64+2536x^65+2393x^66+3196x^67+2786x^68+3098x^69+2796x^70+2600x^71+1900x^72+1698x^73+1002x^74+876x^75+472x^76+288x^77+146x^78+52x^79+32x^80+20x^81+15x^82+4x^83+10x^84+2x^85+6x^86+2x^89

The gray image is a code over GF(2) with n=272, k=15 and d=116.
This code was found by Heurico 1.16 in 35.9 seconds.