The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+98x^78+294x^79+507x^80+440x^81+793x^82+648x^83+747x^84+538x^85+677x^86+506x^87+603x^88+444x^89+466x^90+308x^91+330x^92+246x^93+229x^94+102x^95+109x^96+32x^97+39x^98+12x^99+5x^100+12x^101+2x^102+2x^103+2x^104

The gray image is a code over GF(2) with n=344, k=13 and d=156.
This code was found by Heurico 1.16 in 2.93 seconds.