The generator matrix

 1  1  1  1  1  1  1  1  1  1  1
 0  7  0  7 21 21  0  7 21 14 14
 0  0  7 35 21 14 28 14  7 35 28

generates a code of length 11 over Z49 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+66x^56+132x^63+2058x^66+66x^70+78x^77

The gray image is a code over GF(7) with n=77, k=4 and d=56.
This code was found by Heurico 1.16 in 0.00101 seconds.