The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+122x^67+547x^68+920x^69+1435x^70+2134x^71+2528x^72+3320x^73+3949x^74+4392x^75+5282x^76+5420x^77+5335x^78+5534x^79+5335x^80+4686x^81+3909x^82+3312x^83+2553x^84+1822x^85+1276x^86+768x^87+448x^88+258x^89+108x^90+54x^91+36x^92+22x^93+18x^94+4x^95+4x^96+2x^98+2x^100

The gray image is a code over GF(2) with n=312, k=16 and d=134.
This code was found by Heurico 1.11 in 69.5 seconds.