The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^70+304x^71+402x^72+612x^73+569x^74+782x^75+652x^76+696x^77+556x^78+732x^79+464x^80+646x^81+390x^82+434x^83+241x^84+216x^85+190x^86+104x^87+55x^88+66x^89+9x^90+12x^91+7x^92+4x^93+8x^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 1.16 in 2.54 seconds.