The generator matrix

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

generates a code of length 24 over Z49 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+198x^112+822x^119+1368x^126+2106x^133+14406x^138+2886x^140+86436x^145+3798x^147+3354x^154+1878x^161+396x^168

The gray image is a code over GF(7) with n=168, k=6 and d=112.
This code was found by Heurico 1.16 in 4 seconds.