The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+64x^68+336x^69+556x^70+760x^71+1002x^72+1144x^73+1277x^74+1288x^75+1386x^76+1338x^77+1229x^78+1256x^79+1119x^80+954x^81+820x^82+656x^83+438x^84+306x^85+186x^86+96x^87+80x^88+46x^89+27x^90+8x^91+4x^92+4x^93+1x^94+2x^96

The gray image is a code over GF(2) with n=308, k=14 and d=136.
This code was found by Heurico 1.16 in 11 seconds.