The generator matrix

 1  0  1  1  1
 0  1  1 31  0
 0  0 35  0  7
 0  0  0  7 28

generates a code of length 5 over Z49 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+60x^14+294x^18+300x^21+6174x^24+3528x^25+930x^28+57624x^30+37044x^31+10584x^32+1110x^35

The gray image is a code over GF(7) with n=35, k=6 and d=14.
This code was found by Heurico 1.16 in 0.0815 seconds.