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  7  1
 0  7  0  0  7  7 28 14 21  0  7 21 21 21 35 14 28 14  0 28 21  0  7  7
 0  0  7  0 35 28 21 35 42 21 21 21 35 35 28  0 42 42 42  0 42 42 21 35
 0  0  0  7 35  7 14 42 42 28  7  0 14 42 42 35  7 35 35 35 28  7 35 42

generates a code of length 24 over Z49 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+246x^126+534x^133+2058x^138+438x^140+12348x^145+384x^147+438x^154+282x^161+78x^168

The gray image is a code over GF(7) with n=168, k=5 and d=126.
This code was found by Heurico 1.16 in 0.0907 seconds.