The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^77+6x^78+4x^79+6x^80+6x^81+1x^82+1x^84+1x^86

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 0.167 seconds.