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
 0  7  0  7 21 21  0  7 21 14 14 14  0  7 21 14 42 42 42 42 21 42  7  0 14 28 28 28
 0  0  7 35 21 14 28 14  7 35  7 28 35 28  0 14  0  7 14 42 35 28 42 42 21 28  0 21

generates a code of length 28 over Z49 who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+138x^161+2178x^168+54x^175+6x^182+24x^196

The gray image is a code over GF(7) with n=196, k=4 and d=161.
This code was found by Heurico 1.16 in 0.00444 seconds.