The generator matrix

 1  0  0  1  1  1  6  1  4  1  1  2  1  4  1  4  1  1  1  4  6  6  1  4  1  1  1  6  1  1  2  1  4  1  4  6  1  6  1  1  4  1  1  6  4  1  1  6  2  1  0  4  0  1  1  1  4  1  1  0  0  1  4  4  4  1  2  1  1  1  1  1  1  1  6  6  4
 0  1  0  0  1  3  1  5  1  2  3  1  2  4  2  1  5  0  7  1  1  4  4  1  1  1  4  6  2  7  6  0  1  5  1  1  5  1  4  7  2  5  6  1  4  1  4  1  2  7  0  1  1  7  0  3  4  6  4  1  1  1  1  1  2  0  1  3  6  4  5  1  6  7  1  1  1
 0  0  1  1  1  0  1  2  3  7  1  6  2  1  1  5  7  0  4  4  1  1  3  2  2  5  0  1  6  5  1  5  7  4  0  1  6  7  6  2  1  7  4  5  1  0  1  6  1  0  1  1  2  5  3  6  1  1  6  5  2  5  7  0  1  5  4  0  0  2  3  4  3  0  0  7  4
 0  0  0  2  0  0  4  0  4  2  4  4  0  6  0  6  6  6  6  6  2  6  4  6  2  2  0  2  2  6  0  4  0  4  2  0  0  2  6  6  0  2  0  6  4  4  6  4  0  6  6  4  4  6  6  6  2  4  2  0  4  6  4  4  2  0  2  0  2  0  0  0  6  6  2  2  4
 0  0  0  0  2  6  6  6  2  0  2  4  4  0  0  2  2  0  6  4  2  4  4  4  2  2  2  6  6  4  6  2  4  0  6  4  0  0  6  0  2  4  2  4  6  6  6  2  4  2  2  4  6  2  4  6  6  2  0  6  2  0  0  2  2  0  6  6  4  2  4  0  2  2  0  4  2
 0  0  0  0  0  4  0  0  4  4  4  4  4  0  4  4  0  0  4  0  0  4  0  4  0  4  4  0  0  0  4  0  4  4  4  0  0  4  4  0  4  4  0  0  0  0  0  4  4  0  4  4  0  4  0  0  0  0  4  0  4  4  4  0  4  4  0  0  0  4  0  0  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+203x^68+256x^69+606x^70+676x^71+1078x^72+948x^73+1220x^74+1044x^75+1541x^76+1268x^77+1636x^78+1288x^79+1255x^80+844x^81+876x^82+488x^83+413x^84+252x^85+228x^86+84x^87+92x^88+16x^89+30x^90+4x^91+19x^92+10x^94+6x^96+2x^98

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 12.5 seconds.