The generator matrix

 1  0  1  1  1  1  1
 0  1  1 31 16 48 36
 0  0 35  0 35  7 14
 0  0  0  7 28 28 42

generates a code of length 7 over Z49 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+210x^28+294x^30+378x^35+10290x^36+3528x^37+29820x^42+61740x^43+10584x^44+804x^49

The gray image is a code over GF(7) with n=49, k=6 and d=28.
This code was found by Heurico 1.16 in 0.176 seconds.