The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+52x^70+292x^71+407x^72+636x^73+532x^74+726x^75+692x^76+732x^77+524x^78+780x^79+446x^80+618x^81+424x^82+414x^83+237x^84+228x^85+180x^86+108x^87+60x^88+54x^89+12x^90+16x^91+11x^92+4x^93+4x^94+2x^96

The gray image is a code over GF(2) with n=312, k=13 and d=140.
This code was found by Heurico 1.11 in 1.64 seconds.