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  0  2  2  4  2  2  0  4  4  4  0  0  2  2  0  4  2  2  2  2  0  4  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  2  1
 0  2  0  2  0  0  2  2  4  4  6  6  4  4  6  6  0  4  2  6  0  4  2  6  4  0  6  2  4  0  6  2  4  2  2  0  6  2  6  6  0  4  2  2  2  2  2  2  4  0  4  2  0  6  2  2  0  0  4  4  4  4  0  0  2  2  6  6  0  6  0  6  2  2  4  4  4  0
 0  0  2  2  4  6  6  4  4  2  6  0  0  6  2  4  0  2  2  0  4  6  6  4  4  6  6  4  0  2  2  0  2  2  4  2  2  0  0  4  2  2  2  6  6  2  4  0  2  2  6  6  6  6  0  4  0  4  4  0  2  6  6  2  2  6  6  2  0  0  4  4  4  0  4  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+76x^78+15x^80+8x^81+3x^86+1x^102

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 0.639 seconds.