The generator matrix

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

generates a code of length 20 over Z49 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+120x^112+126x^119+2058x^120+42x^126+18x^133+36x^140

The gray image is a code over GF(7) with n=140, k=4 and d=112.
This code was found by Heurico 1.16 in 0.00246 seconds.