The generator matrix

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

generates a code of length 16 over Z49 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+252x^84+252x^86+588x^90+2646x^91+672x^93+3528x^97+7650x^98+1134x^100+42x^105+42x^112

The gray image is a code over GF(7) with n=112, k=5 and d=84.
This code was found by Heurico 1.16 in 0.023 seconds.