The generator matrix

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

generates a code of length 16 over Z49 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+264x^70+1074x^77+1842x^84+14406x^90+3492x^91+86436x^97+4812x^98+3978x^105+1344x^112

The gray image is a code over GF(7) with n=112, k=6 and d=70.
This code was found by Heurico 1.16 in 2.19 seconds.