The generator matrix

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

generates a code of length 10 over Z49 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+114x^35+732x^42+1692x^49+4782x^56+100842x^60+5862x^63+3624x^70

The gray image is a code over GF(7) with n=70, k=6 and d=35.
This code was found by Heurico 1.16 in 0.626 seconds.