The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+76x^69+462x^70+622x^71+1253x^72+1246x^73+2062x^74+1992x^75+2551x^76+2096x^77+2888x^78+2428x^79+3109x^80+2224x^81+2501x^82+1690x^83+1854x^84+1142x^85+1105x^86+564x^87+457x^88+180x^89+165x^90+62x^91+23x^92+4x^93+1x^94+2x^95+4x^97+2x^101+2x^105

The gray image is a code over GF(2) with n=316, k=15 and d=138.
This code was found by Heurico 1.16 in 41.1 seconds.