The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^112+534x^119+384x^126+14406x^132+528x^133+420x^140+318x^147+120x^154

The gray image is a code over GF(7) with n=154, k=5 and d=112.
This code was found by Heurico 1.16 in 0.0828 seconds.