The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+24x^77+78x^78+15x^80+4x^81+2x^86+4x^89

The gray image is a code over GF(2) with n=312, k=7 and d=154.
This code was found by Heurico 1.16 in 0.185 seconds.