The generator matrix

 1  0  1  1
 0  1  1 31
 0  0 35 21

generates a code of length 4 over Z49 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+36x^14+1176x^18+120x^21+8232x^24+7056x^25+186x^28

The gray image is a code over GF(7) with n=28, k=5 and d=14.
This code was found by Heurico 1.16 in 0.0018 seconds.