The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+181x^68+76x^69+510x^70+212x^71+810x^72+664x^73+1284x^74+956x^75+1562x^76+1168x^77+1762x^78+1160x^79+1538x^80+956x^81+1150x^82+668x^83+741x^84+204x^85+336x^86+76x^87+173x^88+4x^89+118x^90+43x^92+24x^94+5x^96+1x^104+1x^108

The gray image is a code over GF(2) with n=312, k=14 and d=136.
This code was found by Heurico 1.16 in 15.1 seconds.