The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1  1  1 21  1  1  1  1  1  1 14
 0  1 36 31 16 48  4  7 29 38  9  6 46  1 21 43  3 23 20 11  1 14 15 45 44 13 32  1

generates a code of length 28 over Z49 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+1176x^165+336x^168+882x^172+6x^196

The gray image is a code over GF(7) with n=196, k=4 and d=165.
This code was found by Heurico 1.16 in 0.00262 seconds.