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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+15x^78+94x^79+15x^80+2x^95+1x^126

The gray image is a code over GF(2) with n=316, k=7 and d=156.
This code was found by Heurico 1.16 in 0.192 seconds.