The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^58+288x^59+630x^60+882x^61+1357x^62+1638x^63+2218x^64+2102x^65+2853x^66+2732x^67+3216x^68+2768x^69+2988x^70+2334x^71+2150x^72+1580x^73+1238x^74+672x^75+500x^76+270x^77+135x^78+42x^79+51x^80+38x^81+17x^82+4x^83+2x^84+8x^85+4x^86+2x^87

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 35.6 seconds.