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

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

Homogenous weight enumerator: w(x)=1x^0+38x^77+4x^78+8x^79+7x^80+4x^82+2x^85

The gray image is a code over GF(2) with n=308, k=6 and d=154.
This code was found by Heurico 1.16 in 0.186 seconds.