The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  7  0  0  7  7 28 14 21  0  7 21 21 21 35 21  0
 0  0  7  0 35 28 21 35 42 21 21 21 35 35 28 14  7
 0  0  0  7 35  7 14 42 42 28  7  0 14 42 42 14 21

generates a code of length 17 over Z49 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+168x^84+498x^91+450x^98+14406x^102+510x^105+612x^112+162x^119

The gray image is a code over GF(7) with n=119, k=5 and d=84.
This code was found by Heurico 1.16 in 0.0575 seconds.