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

generates a code of length 28 over Z49 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+144x^147+444x^154+438x^161+14856x^168+354x^175+318x^182+216x^189+36x^196

The gray image is a code over GF(7) with n=196, k=5 and d=147.
This code was found by Heurico 1.16 in 0.115 seconds.