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

generates a code of length 26 over Z49 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+84x^147+156x^154+2058x^156+54x^161+12x^168+18x^175+18x^182

The gray image is a code over GF(7) with n=182, k=4 and d=147.
This code was found by Heurico 1.16 in 0.00401 seconds.