The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  0  1  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16  1 31 26  0
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 28  7 28  0
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 28 35 35 21

generates a code of length 22 over Z49 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+114x^112+168x^114+126x^115+498x^119+882x^120+3024x^121+1386x^122+438x^126+10584x^127+18144x^128+5082x^129+438x^133+31752x^134+36288x^135+7812x^136+456x^140+372x^147+84x^154

The gray image is a code over GF(7) with n=154, k=6 and d=112.
This code was found by Heurico 1.16 in 1.57 seconds.