The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+104x^69+336x^70+520x^71+867x^72+892x^73+1237x^74+1164x^75+1299x^76+1246x^77+1501x^78+1246x^79+1229x^80+1072x^81+935x^82+774x^83+770x^84+394x^85+345x^86+180x^87+147x^88+64x^89+28x^90+14x^91+7x^92+4x^93+2x^94+2x^95+4x^99

The gray image is a code over GF(2) with n=312, k=14 and d=138.
This code was found by Heurico 1.11 in 5.14 seconds.