The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^68+328x^69+535x^70+798x^71+1023x^72+1106x^73+1230x^74+1330x^75+1303x^76+1268x^77+1335x^78+1300x^79+1092x^80+1002x^81+872x^82+540x^83+445x^84+354x^85+199x^86+116x^87+44x^88+36x^89+14x^90+10x^91+4x^92+2x^93+7x^94+2x^103

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 10.9 seconds.