The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+78x^59+306x^60+450x^61+609x^62+904x^63+1158x^64+1244x^65+1280x^66+1514x^67+1557x^68+1428x^69+1376x^70+1190x^71+1022x^72+846x^73+534x^74+344x^75+188x^76+112x^77+95x^78+58x^79+43x^80+14x^81+10x^82+8x^83+13x^84+2x^85

The gray image is a code over GF(2) with n=272, k=14 and d=118.
This code was found by Heurico 1.16 in 10.6 seconds.