The generator matrix

 1  0  0  1  1  1  1  1 35  1  1  1  1  1  1  1
 0  1  0 36 31 16 35 17  1 48  1  9 34 18 19 21
 0  0  1  5 31 34 36  4 16 38  2 21 46 37 40 10

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

Homogenous weight enumerator: w(x)=1x^0+660x^84+3150x^85+1260x^86+882x^90+7710x^91+15750x^92+3360x^93+18522x^96+5292x^97+22770x^98+32550x^99+5670x^100+18x^105+54x^112

The gray image is a code over GF(7) with n=112, k=6 and d=84.
This code was found by Heurico 1.16 in 0.773 seconds.