The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+173x^58+236x^59+623x^60+708x^61+1518x^62+1380x^63+2283x^64+1988x^65+3071x^66+2732x^67+3323x^68+2900x^69+2966x^70+2180x^71+2316x^72+1372x^73+1244x^74+616x^75+564x^76+200x^77+203x^78+24x^79+83x^80+36x^82+22x^84+5x^86+1x^88

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 39.9 seconds.