The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+106x^68+402x^69+723x^70+1188x^71+1341x^72+1934x^73+1824x^74+2358x^75+2547x^76+2772x^77+2448x^78+2856x^79+2423x^80+2672x^81+1886x^82+1766x^83+1208x^84+924x^85+541x^86+370x^87+219x^88+122x^89+58x^90+36x^91+27x^92+4x^93+8x^94+2x^95+2x^101

The gray image is a code over GF(2) with n=312, k=15 and d=136.
This code was found by Heurico 1.11 in 18 seconds.