The generator matrix

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

generates a code of length 31 over Z49 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+324x^168+516x^175+450x^182+14406x^186+342x^189+324x^196+252x^203+144x^210+48x^217

The gray image is a code over GF(7) with n=217, k=5 and d=168.
This code was found by Heurico 1.16 in 0.125 seconds.