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

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

Homogenous weight enumerator: w(x)=1x^0+28x^77+78x^78+15x^80+4x^85+1x^94+1x^110

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 0.225 seconds.