The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1 31 16  0 31  7 38 48  4
 0  0 35 21 42  7 28 14 35 21 42

generates a code of length 11 over Z49 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+252x^55+78x^56+1470x^60+1260x^62+96x^63+2058x^66+8820x^67+2604x^69+102x^70+66x^77

The gray image is a code over GF(7) with n=77, k=5 and d=55.
This code was found by Heurico 1.16 in 0.0133 seconds.