The generator matrix

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

generates a code of length 23 over Z49 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+684x^112+1278x^119+1980x^126+14406x^132+2934x^133+86436x^139+3972x^140+3672x^147+1848x^154+438x^161

The gray image is a code over GF(7) with n=161, k=6 and d=112.
This code was found by Heurico 1.16 in 7.72 seconds.