The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  1  2  1  1  1  1  2  1  2  1  1  1  0  1  1  4  1  1  1  1  2  4  1  0  1  0  0  1  1  2  0  1  2  1  2  1  4  1  1  1  1
 0  2  0  0  0  0  0  0  0  2  6  2  2  4  6  2  4  4  2  6  4  6  0  2  6  6  4  2  0  2  0  2  4  4  6  0  2  0  0  0  0  2  4  0  4  6  6  2  0  0  0  4  4  6  6  6  4  2  6  4  4  2  4  2  0  6  2  2  6  2  2  4  4  0  4  6  0
 0  0  2  0  0  0  2  6  2  2  2  4  2  4  2  4  6  6  4  2  4  4  0  0  6  4  4  4  2  2  6  6  0  0  4  2  6  4  4  4  2  4  2  6  4  4  6  6  4  2  2  2  0  6  6  6  0  0  0  2  6  0  2  6  4  0  0  0  6  4  2  2  4  6  4  6  0
 0  0  0  2  0  2  2  2  4  4  0  0  2  6  6  6  6  4  6  6  2  4  4  2  0  4  4  6  2  6  0  4  6  0  0  6  6  0  4  2  6  0  0  0  6  2  4  6  2  4  0  4  0  0  2  4  2  2  0  6  6  0  6  0  2  0  4  6  6  0  6  2  4  4  2  0  2
 0  0  0  0  2  2  4  6  2  4  2  2  6  4  0  0  2  6  2  6  2  2  6  0  2  4  0  2  0  0  0  0  6  2  4  0  2  2  4  6  0  4  4  2  0  2  0  6  2  4  6  6  0  4  2  2  4  4  4  2  0  0  4  6  6  6  6  2  0  6  2  6  2  4  0  0  2
 0  0  0  0  0  4  4  4  0  0  4  4  4  4  4  0  0  4  0  0  0  0  4  4  0  4  4  4  0  0  4  4  0  4  4  0  0  4  4  4  4  0  0  4  0  0  0  0  4  0  0  0  0  4  4  4  4  0  4  0  0  4  0  4  0  0  4  0  4  4  4  4  4  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+96x^68+264x^70+48x^71+334x^72+136x^73+450x^74+200x^75+501x^76+240x^77+430x^78+224x^79+397x^80+136x^81+222x^82+40x^83+153x^84+96x^86+66x^88+36x^90+16x^92+6x^94+1x^96+2x^100+1x^120

The gray image is a code over GF(2) with n=308, k=12 and d=136.
This code was found by Heurico 1.16 in 1.4 seconds.