The generator matrix

 1  1  1  1
 0  7  0  0
 0  0  7  0
 0  0  0  7

generates a code of length 4 over Z49 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+24x^7+216x^14+864x^21+14406x^24+1296x^28

The gray image is a code over GF(7) with n=28, k=5 and d=7.
This code was found by Heurico 1.16 in 0.00239 seconds.