The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^58+136x^59+738x^60+628x^61+1644x^62+1196x^63+2354x^64+1824x^65+3468x^66+2348x^67+3881x^68+2264x^69+3414x^70+1968x^71+2318x^72+1312x^73+1416x^74+456x^75+588x^76+116x^77+316x^78+36x^79+95x^80+32x^82+4x^83+9x^84+2x^86

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 39.8 seconds.